document.write( "Question 18975: 24a-8-10a=-2(4-7a) \n" ); document.write( "

Algebra.Com's Answer #9115 by Alwayscheerful(414) $\"\"$ $\"About$

You can put this solution on YOUR website!
\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( "

Graphical form: Equation $\"24a-8-10a=-2%2A%284-7a%29\"$ was fully solved.
Text form: 24a-8-10a=-2*(4-7a) simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+24a-8-10a=-2%2A%284-7a%29+%29\"$
For tutors: simplify_cartoon( 24a-8-10a=-2*(4-7a) )
If you have a website, here's a link to this solution.

\n" ); document.write( "

DETAILED EXPLANATION

\n" ); document.write( "

Look at $\"24%2Aa-highlight_red%28+8+%29-10%2Aa=-2%2A%284-7a%29\"$ .
Moved $\"-8\"$ to the right of expression
It becomes $\"24%2Aa-10%2Aa-highlight_green%28+8+%29=-2%2A%284-7a%29\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+24%2Aa+%29-highlight_red%28+10%2Aa+%29-8=-2%2A%284-7a%29\"$ .
Eliminated similar terms $\"highlight_red%28+24%2Aa+%29\"$ , $\"highlight_red%28+-10%2Aa+%29\"$ replacing them with $\"highlight_green%28+%2824-10%29%2Aa+%29\"$
It becomes $\"highlight_green%28+%2824-10%29%2Aa+%29-8=-2%2A%284-7a%29\"$ .
\n" ); document.write( "

Look at $\"%28highlight_red%28+24+%29-highlight_red%28+10+%29%29%2Aa-8=-2%2A%284-7a%29\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+14+%29%29%2Aa-8=-2%2A%284-7a%29\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+%28highlight_red%28+14+%29%29%2Aa+%29-8=-2%2A%284-7a%29\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+14+%29\"$
It becomes $\"highlight_green%28+14+%29%2Aa-8=-2%2A%284-7a%29\"$ .
\n" ); document.write( "

Look at $\"14%2Aa-8=-2%2A%28highlight_red%28+4+%29-7%2Aa%29\"$ .
Moved $\"4\"$ to the right of expression
It becomes $\"14%2Aa-8=-2%2A%28-7%2Aa%2Bhighlight_green%28+4+%29%29\"$ .
\n" ); document.write( "

Look at $\"14%2Aa-8=highlight_red%28+-2%2A%28-7%2Aa%2B4%29+%29\"$ .
Moved these terms to the left $\"highlight_green%28+2%2A%28-7%2Aa%2B4%29+%29\"$
It becomes $\"14%2Aa-8%2Bhighlight_green%28+2%2A%28-7%2Aa%2B4%29+%29=0\"$ .
\n" ); document.write( "

Look at $\"14%2Aa-highlight_red%28+8+%29%2B2%2A%28-7%2Aa%2B4%29=0\"$ .
Moved $\"-8\"$ to the right of expression
It becomes $\"14%2Aa%2B2%2A%28-7%2Aa%2B4%29-highlight_green%28+8+%29=0\"$ .
\n" ); document.write( "

Look at $\"14%2Aa%2Bhighlight_red%28+2%2A%28-7%2Aa%2B4%29+%29-8=0\"$ .
Expanded term $\"2\"$ by using associative property on $\"%28-7%2Aa%2B4%29\"$
It becomes $\"14%2Aa-highlight_green%28+2%2A7%2Aa+%29%2Bhighlight_green%28+2%2A4+%29-8=0\"$ .
\n" ); document.write( "

Look at $\"14%2Aa-highlight_red%28+2+%29%2Ahighlight_red%28+7+%29%2Aa%2B2%2A4-8=0\"$ .
Multiplied numerator integers
It becomes $\"14%2Aa-highlight_green%28+14+%29%2Aa%2B2%2A4-8=0\"$ .
\n" ); document.write( "

Look at $\"14%2Aa-14%2Aa%2Bhighlight_red%28+2+%29%2Ahighlight_red%28+4+%29-8=0\"$ .
Multiplied numerator integers
It becomes $\"14%2Aa-14%2Aa%2Bhighlight_green%28+8+%29-8=0\"$ .
\n" ); document.write( "

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

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

Look at $\"highlight_red%28+14%2Aa+%29-highlight_red%28+14%2Aa+%29=0\"$ .
Eliminated similar terms $\"highlight_red%28+14%2Aa+%29\"$ , $\"highlight_red%28+-14%2Aa+%29\"$ replacing them with $\"highlight_green%28+%2814-14%29%2Aa+%29\"$
It becomes $\"highlight_green%28+%2814-14%29%2Aa+%29=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+%2814-14%29%2Aa+%29=0\"$ .
Since $\"highlight_red%28+%2814-14%29%2Aa+%29\"$ has zero as a factor, it should be replaced with a zero
\n" ); document.write( "

Look at $\"0=0\"$ .
Added fractions or integers together
It becomes $\"0=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "

Universal Simplifier and Solver

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

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

\n" );