document.write( "Question 27324: How do you do these questions I really do need help on these\r
\n" ); document.write( "\n" ); document.write( "2(5w-12)=6(-2w+3)+2\r
\n" ); document.write( "\n" ); document.write( "1/2(2d-34)=2/3(6d-27)\r
\n" ); document.write( "\n" ); document.write( "y(y+12)-8y=14+y(y-4)\r
\n" ); document.write( "\n" ); document.write( "a(a+8)-a(a+3)-23=3a+11 \n" ); document.write( "

Algebra.Com's Answer #14847 by Alwayscheerful(414) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"2%285w-12%29=6%28-2w%2B3%29%2B2\"$ \r
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

\n" ); document.write( "
\n" ); document.write( "

\n" ); document.write( " YOUR ANSWER\n" ); document.write( "

\n" ); document.write( "\n" ); document.write( "

This is an equation! Solutions: w=2.
Graphical form: Equation $\"2%2A%285w-12%29=6%2A%28-2w%2B3%29%2B2\"$ was fully solved.
Text form: 2*(5w-12)=6*(-2w+3)+2 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+2%2A%285w-12%29=6%2A%28-2w%2B3%29%2B2+%29\"$
For tutors: simplify_cartoon( 2*(5w-12)=6*(-2w+3)+2 )
If you have a website, here's a link to this solution.

\n" ); document.write( "

DETAILED EXPLANATION

\n" ); document.write( "

Look at $\"2%2A%285%2Aw-12%29=highlight_red%28+6%2A%28-2%2Aw%2B3%29%2B2+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-6%2A%28-2%2Aw%2B3%29+%29\"$ , $\"highlight_green%28+-2+%29\"$
It becomes $\"2%2A%285%2Aw-12%29-highlight_green%28+6%2A%28-2%2Aw%2B3%29+%29-highlight_green%28+2+%29=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+2%2A%285%2Aw-12%29+%29-6%2A%28-2%2Aw%2B3%29-2=0\"$ .
Expanded term $\"2\"$ by using associative property on $\"%285%2Aw-12%29\"$
It becomes $\"highlight_green%28+2%2A5%2Aw+%29-highlight_green%28+2%2A12+%29-6%2A%28-2%2Aw%2B3%29-2=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+2+%29%2Ahighlight_red%28+5+%29%2Aw-2%2A12-6%2A%28-2%2Aw%2B3%29-2=0\"$ .
Multiplied numerator integers
It becomes $\"highlight_green%28+10+%29%2Aw-2%2A12-6%2A%28-2%2Aw%2B3%29-2=0\"$ .
\n" ); document.write( "

Look at $\"10%2Aw-highlight_red%28+2+%29%2Ahighlight_red%28+12+%29-6%2A%28-2%2Aw%2B3%29-2=0\"$ .
Multiplied numerator integers
It becomes $\"10%2Aw-highlight_green%28+24+%29-6%2A%28-2%2Aw%2B3%29-2=0\"$ .
\n" ); document.write( "

Look at $\"10%2Aw-highlight_red%28+24+%29-6%2A%28-2%2Aw%2B3%29-highlight_red%28+2+%29=0\"$ .
Added fractions or integers together
It becomes $\"10%2Aw%2Bhighlight_green%28+-26+%29-6%2A%28-2%2Aw%2B3%29=0\"$ .
\n" ); document.write( "

Look at $\"10%2Aw%2Bhighlight_red%28+-26+%29-6%2A%28-2%2Aw%2B3%29=0\"$ .
Moved $\"-26\"$ to the right of expression
It becomes $\"10%2Aw-6%2A%28-2%2Aw%2B3%29%2Bhighlight_green%28+-26+%29=0\"$ .
\n" ); document.write( "

Look at $\"10%2Aw-6%2A%28-2%2Aw%2B3%29%2Bhighlight_red%28+-26+%29=0\"$ .
Removed extra sign in front of $\"-26\"$
It becomes $\"10%2Aw-6%2A%28-2%2Aw%2B3%29-highlight_green%28+26+%29=0\"$ .
\n" ); document.write( "

Look at $\"10%2Aw-highlight_red%28+6%2A%28-2%2Aw%2B3%29+%29-26=0\"$ .
Expanded term $\"-6\"$ by using associative property on $\"%28-2%2Aw%2B3%29\"$
It becomes $\"10%2Aw%2Bhighlight_green%28+6%2A2%2Aw+%29-highlight_green%28+6%2A3+%29-26=0\"$ .
\n" ); document.write( "

Look at $\"10%2Aw%2Bhighlight_red%28+6+%29%2Ahighlight_red%28+2+%29%2Aw-6%2A3-26=0\"$ .
Multiplied numerator integers
It becomes $\"10%2Aw%2Bhighlight_green%28+12+%29%2Aw-6%2A3-26=0\"$ .
\n" ); document.write( "

Look at $\"10%2Aw%2B12%2Aw-highlight_red%28+6+%29%2Ahighlight_red%28+3+%29-26=0\"$ .
Multiplied numerator integers
It becomes $\"10%2Aw%2B12%2Aw-highlight_green%28+18+%29-26=0\"$ .
\n" ); document.write( "

Look at $\"10%2Aw%2B12%2Aw-highlight_red%28+18+%29-highlight_red%28+26+%29=0\"$ .
Added fractions or integers together
It becomes $\"10%2Aw%2B12%2Aw%2Bhighlight_green%28+-44+%29=0\"$ .
\n" ); document.write( "

Look at $\"10%2Aw%2B12%2Aw%2Bhighlight_red%28+-44+%29=0\"$ .
Removed extra sign in front of $\"-44\"$
It becomes $\"10%2Aw%2B12%2Aw-highlight_green%28+44+%29=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+10%2Aw+%29%2Bhighlight_red%28+12%2Aw+%29-44=0\"$ .
Eliminated similar terms $\"highlight_red%28+10%2Aw+%29\"$ , $\"highlight_red%28+12%2Aw+%29\"$ replacing them with $\"highlight_green%28+%2810%2B12%29%2Aw+%29\"$
It becomes $\"highlight_green%28+%2810%2B12%29%2Aw+%29-44=0\"$ .
\n" ); document.write( "

Look at $\"%28highlight_red%28+10+%29%2Bhighlight_red%28+12+%29%29%2Aw-44=0\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+22+%29%29%2Aw-44=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+%28highlight_red%28+22+%29%29%2Aw+%29-44=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+22+%29\"$
It becomes $\"highlight_green%28+22+%29%2Aw-44=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+22%2Aw-44+%29=0\"$ .
Solved linear equation $\"highlight_red%28+22%2Aw-44=0+%29\"$ equivalent to 22*w-44 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: w=2.

Universal Simplifier and Solver

\n" ); document.write( "
Done!

\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"%281%2F2%29%282d-34%29=%282%2F3%29%286d-27%29\"$
\n" ); document.write( "DISTRIBUTE
\n" ); document.write( " $\"d-17=4d-18\"$ \r
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

\n" ); document.write( "
\n" ); document.write( "

\n" ); document.write( " YOUR ANSWER\n" ); document.write( "

\n" ); document.write( "\n" ); document.write( "

This is an equation! Solutions: d=0.333333333333333.
Graphical form: Equation $\"d-17=4d-18\"$ was fully solved.
Text form: d-17=4d-18 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+d-17=4d-18+%29\"$
For tutors: simplify_cartoon( d-17=4d-18 )
If you have a website, here's a link to this solution.

\n" ); document.write( "

DETAILED EXPLANATION

\n" ); document.write( "

Look at $\"d-17=highlight_red%28+4%2Ad-18+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-4%2Ad+%29\"$ , $\"highlight_green%28+18+%29\"$
It becomes $\"d-17-highlight_green%28+4%2Ad+%29%2Bhighlight_green%28+18+%29=0\"$ .
\n" ); document.write( "

Look at $\"d-highlight_red%28+17+%29-4%2Ad%2Bhighlight_red%28+18+%29=0\"$ .
Added fractions or integers together
It becomes $\"d%2Bhighlight_green%28+1+%29-4%2Ad=0\"$ .
\n" ); document.write( "

Look at $\"d%2Bhighlight_red%28+1+%29-4%2Ad=0\"$ .
Moved $\"1\"$ to the right of expression
It becomes $\"d-4%2Ad%2Bhighlight_green%28+1+%29=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+d+%29-highlight_red%28+4%2Ad+%29%2B1=0\"$ .
Eliminated similar terms $\"highlight_red%28+d+%29\"$ , $\"highlight_red%28+-4%2Ad+%29\"$ replacing them with $\"highlight_green%28+%281-4%29%2Ad+%29\"$
It becomes $\"highlight_green%28+%281-4%29%2Ad+%29%2B1=0\"$ .
\n" ); document.write( "

Look at $\"%28highlight_red%28+1+%29-highlight_red%28+4+%29%29%2Ad%2B1=0\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+-3+%29%29%2Ad%2B1=0\"$ .
\n" ); document.write( "

Look at $\"%28highlight_red%28+-3+%29%29%2Ad%2B1=0\"$ .
Removed extra sign in front of $\"-3\"$
It becomes $\"%28-highlight_green%28+3+%29%29%2Ad%2B1=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+%28-highlight_red%28+3+%29%29%2Ad+%29%2B1=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+3+%29\"$
It becomes $\"-highlight_green%28+3+%29%2Ad%2B1=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+-3%2Ad%2B1+%29=0\"$ .
Solved linear equation $\"highlight_red%28+-3%2Ad%2B1=0+%29\"$ equivalent to -3*d+1 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: d=0.333333333333333.

Universal Simplifier and Solver

\n" ); document.write( "
Done!

\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"y%28y%2B12%29-8y=14%2By%28y-4%29\"$
\n" ); document.write( "DISTRIBUTE
\n" ); document.write( " $\"y%5E2%2B12y-8y=14%2By%5E2-4y\"$ \r
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

\n" ); document.write( "
\n" ); document.write( "

\n" ); document.write( " YOUR ANSWER\n" ); document.write( "

\n" ); document.write( "\n" ); document.write( "

This is an equation! Solutions: y=1.75.
Graphical form: Equation $\"y%5E2%2B12y-8y=14%2By%5E2-4y\"$ was fully solved.
Text form: y^2+12y-8y=14+y^2-4y simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+y%5E2%2B12y-8y=14%2By%5E2-4y+%29\"$
For tutors: simplify_cartoon( y^2+12y-8y=14+y^2-4y )
If you have a website, here's a link to this solution.

\n" ); document.write( "

DETAILED EXPLANATION

\n" ); document.write( "

Look at $\"y%5E2%2Bhighlight_red%28+12%2Ay+%29-highlight_red%28+8%2Ay+%29=14%2By%5E2-4y\"$ .
Eliminated similar terms $\"highlight_red%28+12%2Ay+%29\"$ , $\"highlight_red%28+-8%2Ay+%29\"$ replacing them with $\"highlight_green%28+%2812-8%29%2Ay+%29\"$
It becomes $\"y%5E2%2Bhighlight_green%28+%2812-8%29%2Ay+%29=14%2By%5E2-4y\"$ .
\n" ); document.write( "

Look at $\"y%5E2%2B%28highlight_red%28+12+%29-highlight_red%28+8+%29%29%2Ay=14%2By%5E2-4y\"$ .
Added fractions or integers together
It becomes $\"y%5E2%2B%28highlight_green%28+4+%29%29%2Ay=14%2By%5E2-4y\"$ .
\n" ); document.write( "

Look at $\"y%5E2%2Bhighlight_red%28+%28highlight_red%28+4+%29%29%2Ay+%29=14%2By%5E2-4y\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+4+%29\"$
It becomes $\"y%5E2%2Bhighlight_green%28+4+%29%2Ay=14%2By%5E2-4y\"$ .
\n" ); document.write( "

Look at $\"y%5E2%2B4%2Ay=highlight_red%28+14+%29%2By%5E2-4%2Ay\"$ .
Moved $\"14\"$ to the right of expression
It becomes $\"y%5E2%2B4%2Ay=y%5E2-4%2Ay%2Bhighlight_green%28+14+%29\"$ .
\n" ); document.write( "

Look at $\"y%5E2%2B4%2Ay=highlight_red%28+y%5E2-4%2Ay%2B14+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-y%5E2+%29\"$ , $\"highlight_green%28+4%2Ay+%29\"$ , $\"highlight_green%28+-14+%29\"$
It becomes

.
\n" ); document.write( "

Look at $\"highlight_red%28+y%5E2+%29%2B4%2Ay-highlight_red%28+y%5E2+%29%2B4%2Ay-14=0\"$ .
Eliminated similar terms $\"highlight_red%28+y%5E2+%29\"$ , $\"highlight_red%28+-y%5E2+%29\"$ replacing them with $\"highlight_green%28+%281-1%29%2Ay%5E2+%29\"$
It becomes $\"highlight_green%28+%281-1%29%2Ay%5E2+%29%2B4%2Ay%2B4%2Ay-14=0\"$ .
\n" ); document.write( "

Look at $\"%281-1%29%2Ay%5E2%2Bhighlight_red%28+4%2Ay+%29%2Bhighlight_red%28+4%2Ay+%29-14=0\"$ .
Eliminated similar terms $\"highlight_red%28+4%2Ay+%29\"$ , $\"highlight_red%28+4%2Ay+%29\"$ replacing them with $\"highlight_green%28+%284%2B4%29%2Ay+%29\"$
It becomes $\"%281-1%29%2Ay%5E2%2Bhighlight_green%28+%284%2B4%29%2Ay+%29-14=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+%281-1%29%2Ay%5E2+%29%2B%284%2B4%29%2Ay-14=0\"$ .
Since $\"highlight_red%28+%281-1%29%2Ay%5E2+%29\"$ has zero as a factor, it should be replaced with a zero
\n" ); document.write( "

Look at $\"0%2B%284%2B4%29%2Ay-14=0\"$ .
Added fractions or integers together
It becomes $\"0%2B%284%2B4%29%2Ay-14=0\"$ .
\n" ); document.write( "

Look at $\"0%2B%28highlight_red%28+4+%29%2Bhighlight_red%28+4+%29%29%2Ay-14=0\"$ .
Added fractions or integers together
It becomes $\"0%2B%28highlight_green%28+8+%29%29%2Ay-14=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+0+%29%2B%288%29%2Ay-14=0\"$ .
Remove extraneous zero $\"highlight_red%28+0+%29\"$
It becomes $\"%288%29%2Ay-14=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+%28highlight_red%28+8+%29%29%2Ay+%29-14=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+8+%29\"$
It becomes $\"highlight_green%28+8+%29%2Ay-14=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+8%2Ay-14+%29=0\"$ .
Solved linear equation $\"highlight_red%28+8%2Ay-14=0+%29\"$ equivalent to 8*y-14 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: y=1.75.

Universal Simplifier and Solver

\n" ); document.write( "
Done!

\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"a%28a%2B8%29-a%28a%2B3%29-23=3a%2B11\"$
\n" ); document.write( "DISTRIBUTE
\n" ); document.write( " $\"a%5E2+%2B8a-a%5E2-3a-23=3a%2B11\"$ \r
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

\n" ); document.write( "
\n" ); document.write( "

\n" ); document.write( " YOUR ANSWER\n" ); document.write( "

\n" ); document.write( "\n" ); document.write( "

This is an equation! Solutions: a=17.
Graphical form: Equation $\"a%5E2%2B8a-a%5E2-3a-23=3a%2B11\"$ was fully solved.
Text form: a^2+8a-a^2-3a-23=3a+11 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+a%5E2%2B8a-a%5E2-3a-23=3a%2B11+%29\"$
For tutors: simplify_cartoon( a^2+8a-a^2-3a-23=3a+11 )
If you have a website, here's a link to this solution.

\n" ); document.write( "

DETAILED EXPLANATION

\n" ); document.write( "

Look at $\"highlight_red%28+a%5E2+%29%2B8%2Aa-highlight_red%28+a%5E2+%29-3%2Aa-23=3a%2B11\"$ .
Eliminated similar terms $\"highlight_red%28+a%5E2+%29\"$ , $\"highlight_red%28+-a%5E2+%29\"$ replacing them with $\"highlight_green%28+%281-1%29%2Aa%5E2+%29\"$
It becomes $\"highlight_green%28+%281-1%29%2Aa%5E2+%29%2B8%2Aa-3%2Aa-23=3a%2B11\"$ .
\n" ); document.write( "

Look at $\"%281-1%29%2Aa%5E2%2Bhighlight_red%28+8%2Aa+%29-highlight_red%28+3%2Aa+%29-23=3a%2B11\"$ .
Eliminated similar terms $\"highlight_red%28+8%2Aa+%29\"$ , $\"highlight_red%28+-3%2Aa+%29\"$ replacing them with $\"highlight_green%28+%288-3%29%2Aa+%29\"$
It becomes $\"%281-1%29%2Aa%5E2%2Bhighlight_green%28+%288-3%29%2Aa+%29-23=3a%2B11\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+%281-1%29%2Aa%5E2+%29%2B%288-3%29%2Aa-23=3a%2B11\"$ .
Since $\"highlight_red%28+%281-1%29%2Aa%5E2+%29\"$ has zero as a factor, it should be replaced with a zero
\n" ); document.write( "

Look at $\"0%2B%288-3%29%2Aa-23=3a%2B11\"$ .
Added fractions or integers together
It becomes $\"0%2B%288-3%29%2Aa-23=3a%2B11\"$ .
\n" ); document.write( "

Look at $\"0%2B%28highlight_red%28+8+%29-highlight_red%28+3+%29%29%2Aa-23=3a%2B11\"$ .
Added fractions or integers together
It becomes $\"0%2B%28highlight_green%28+5+%29%29%2Aa-23=3a%2B11\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+0+%29%2B%285%29%2Aa-23=3a%2B11\"$ .
Remove extraneous zero $\"highlight_red%28+0+%29\"$
It becomes $\"%285%29%2Aa-23=3a%2B11\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+%28highlight_red%28+5+%29%29%2Aa+%29-23=3a%2B11\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+5+%29\"$
It becomes $\"highlight_green%28+5+%29%2Aa-23=3a%2B11\"$ .
\n" ); document.write( "

Look at $\"5%2Aa-23=highlight_red%28+3%2Aa%2B11+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-3%2Aa+%29\"$ , $\"highlight_green%28+-11+%29\"$
It becomes $\"5%2Aa-23-highlight_green%28+3%2Aa+%29-highlight_green%28+11+%29=0\"$ .
\n" ); document.write( "

Look at $\"5%2Aa-highlight_red%28+23+%29-3%2Aa-highlight_red%28+11+%29=0\"$ .
Added fractions or integers together
It becomes $\"5%2Aa%2Bhighlight_green%28+-34+%29-3%2Aa=0\"$ .
\n" ); document.write( "

Look at $\"5%2Aa%2Bhighlight_red%28+-34+%29-3%2Aa=0\"$ .
Moved $\"-34\"$ to the right of expression
It becomes $\"5%2Aa-3%2Aa%2Bhighlight_green%28+-34+%29=0\"$ .
\n" ); document.write( "

Look at $\"5%2Aa-3%2Aa%2Bhighlight_red%28+-34+%29=0\"$ .
Removed extra sign in front of $\"-34\"$
It becomes $\"5%2Aa-3%2Aa-highlight_green%28+34+%29=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+5%2Aa+%29-highlight_red%28+3%2Aa+%29-34=0\"$ .
Eliminated similar terms $\"highlight_red%28+5%2Aa+%29\"$ , $\"highlight_red%28+-3%2Aa+%29\"$ replacing them with $\"highlight_green%28+%285-3%29%2Aa+%29\"$
It becomes $\"highlight_green%28+%285-3%29%2Aa+%29-34=0\"$ .
\n" ); document.write( "

Look at $\"%28highlight_red%28+5+%29-highlight_red%28+3+%29%29%2Aa-34=0\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+2+%29%29%2Aa-34=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+%28highlight_red%28+2+%29%29%2Aa+%29-34=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+2+%29\"$
It becomes $\"highlight_green%28+2+%29%2Aa-34=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+2%2Aa-34+%29=0\"$ .
Solved linear equation $\"highlight_red%28+2%2Aa-34=0+%29\"$ equivalent to 2*a-34 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: a=17.

Universal Simplifier and Solver

\n" ); document.write( "
Done!

\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Hope this helps! \n" ); document.write( "

\n" );