SOLUTION: How do you do these questions I really do need help on these 2(5w-12)=6(-2w+3)+2 1/2(2d-34)=2/3(6d-27) y(y+12)-8y=14+y(y-4) a(a+8)-a(a+3)-23=3a+11

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Question 27324: How do you do these questions I really do need help on these
2(5w-12)=6(-2w+3)+2
1/2(2d-34)=2/3(6d-27)
y(y+12)-8y=14+y(y-4)
a(a+8)-a(a+3)-23=3a+11
Answer by Alwayscheerful(414)   (Show Source): You can put this solution on YOUR website!

Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


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

DETAILED EXPLANATION

Look at .
Moved these terms to the left highlight_green%28+-6%2A%28-2%2Aw%2B3%29+%29,highlight_green%28+-2+%29
It becomes .
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Expanded term 2 by using associative property on %285%2Aw-12%29
It becomes .
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Multiplied numerator integers
It becomes .
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Multiplied numerator integers
It becomes .
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Added fractions or integers together
It becomes .
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Moved -26 to the right of expression
It becomes .
Look at .
Removed extra sign in front of -26
It becomes .
Look at .
Expanded term -6 by using associative property on %28-2%2Aw%2B3%29
It becomes .
Look at .
Multiplied numerator integers
It becomes .
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Multiplied numerator integers
It becomes .
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Added fractions or integers together
It becomes .
Look at .
Removed extra sign in front of -44
It becomes .
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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 .
Look at .
Added fractions or integers together
It becomes .
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Remove unneeded parentheses around factor highlight_red%28+22+%29
It becomes .
Look at .
Solved linear equation highlight_red%28+22%2Aw-44=0+%29 equivalent to 22*w-44 =0
It becomes .
Result:
This is an equation! Solutions: w=2.

Universal Simplifier and Solver


Done!




DISTRIBUTE

Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


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

DETAILED EXPLANATION

Look at .
Moved these terms to the left highlight_green%28+-4%2Ad+%29,highlight_green%28+18+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Moved 1 to the right of expression
It becomes .
Look at .
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 .
Look at .
Added fractions or integers together
It becomes .
Look at .
Removed extra sign in front of -3
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+3+%29
It becomes .
Look at .
Solved linear equation highlight_red%28+-3%2Ad%2B1=0+%29 equivalent to -3*d+1 =0
It becomes .
Result:
This is an equation! Solutions: d=0.333333333333333.

Universal Simplifier and Solver


Done!




DISTRIBUTE

Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


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

DETAILED EXPLANATION

Look at .
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 .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+4+%29
It becomes .
Look at .
Moved 14 to the right of expression
It becomes .
Look at .
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 .
Look at .
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 .
Look at .
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 .
Look at .
Since highlight_red%28+%281-1%29%2Ay%5E2+%29 has zero as a factor, it should be replaced with a zero
Look at .
Added fractions or integers together
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove extraneous zero highlight_red%28+0+%29
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+8+%29
It becomes .
Look at .
Solved linear equation highlight_red%28+8%2Ay-14=0+%29 equivalent to 8*y-14 =0
It becomes .
Result:
This is an equation! Solutions: y=1.75.

Universal Simplifier and Solver


Done!




DISTRIBUTE

Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: a=17.
  • Graphical form: Equation was fully solved.
  • Text form: a^2+8a-a^2-3a-23=3a+11 simplifies to 0=0
  • Cartoon (animation) form:
    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.

DETAILED EXPLANATION

Look at .
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 .
Look at .
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 .
Look at .
Since highlight_red%28+%281-1%29%2Aa%5E2+%29 has zero as a factor, it should be replaced with a zero
Look at .
Added fractions or integers together
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove extraneous zero highlight_red%28+0+%29
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+5+%29
It becomes .
Look at .
Moved these terms to the left highlight_green%28+-3%2Aa+%29,highlight_green%28+-11+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Moved -34 to the right of expression
It becomes .
Look at .
Removed extra sign in front of -34
It becomes .
Look at .
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 .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+2+%29
It becomes .
Look at .
Solved linear equation highlight_red%28+2%2Aa-34=0+%29 equivalent to 2*a-34 =0
It becomes .
Result:
This is an equation! Solutions: a=17.

Universal Simplifier and Solver


Done!


Hope this helps!
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