document.write( "Question 18930: How do i solve this equation?\r
\n" ); document.write( "\n" ); document.write( "3(4c+7)=12c \n" ); document.write( "
Algebra.Com's Answer #9126 by Alwayscheerful(414)\"\" \"About 
You can put this solution on YOUR website!
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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  • Graphical form: \"3%2A%284c%2B7%29=12c\" simplifies to \"21=0\"
  • Text form: 3*(4c+7)=12c simplifies to 21=0
  • Cartoon (animation) form: \"simplify_cartoon%28+3%2A%284c%2B7%29=12c+%29\"
    For tutors: simplify_cartoon( 3*(4c+7)=12c )
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  • If you have a website, here's a link to this solution.
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DETAILED EXPLANATION

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Look at \"3%2A%284%2Ac%2B7%29=highlight_red%28+12%2Ac+%29\".
Moved these terms to the left \"highlight_green%28+-12%2Ac+%29\"
It becomes \"3%2A%284%2Ac%2B7%29-highlight_green%28+12%2Ac+%29=0\".
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Look at \"highlight_red%28+3%2A%284%2Ac%2B7%29+%29-12%2Ac=0\".
Expanded term \"3\" by using associative property on \"%284%2Ac%2B7%29\"
It becomes \"highlight_green%28+3%2A4%2Ac+%29%2Bhighlight_green%28+3%2A7+%29-12%2Ac=0\".
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Look at \"highlight_red%28+3+%29%2Ahighlight_red%28+4+%29%2Ac%2B3%2A7-12%2Ac=0\".
Multiplied numerator integers
It becomes \"highlight_green%28+12+%29%2Ac%2B3%2A7-12%2Ac=0\".
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Look at \"12%2Ac%2Bhighlight_red%28+3+%29%2Ahighlight_red%28+7+%29-12%2Ac=0\".
Multiplied numerator integers
It becomes \"12%2Ac%2Bhighlight_green%28+21+%29-12%2Ac=0\".
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Look at \"12%2Ac%2Bhighlight_red%28+21+%29-12%2Ac=0\".
Moved \"21\" to the right of expression
It becomes \"12%2Ac-12%2Ac%2Bhighlight_green%28+21+%29=0\".
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Look at \"highlight_red%28+12%2Ac+%29-highlight_red%28+12%2Ac+%29%2B21=0\".
Eliminated similar terms \"highlight_red%28+12%2Ac+%29\",\"highlight_red%28+-12%2Ac+%29\" replacing them with \"highlight_green%28+%2812-12%29%2Ac+%29\"
It becomes \"highlight_green%28+%2812-12%29%2Ac+%29%2B21=0\".
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Look at \"highlight_red%28+%2812-12%29%2Ac+%29%2B21=0\".
Since \"highlight_red%28+%2812-12%29%2Ac+%29\" has zero as a factor, it should be replaced with a zero
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Look at \"0%2B21=0\".
Added fractions or integers together
It becomes \"0%2B21=0\".
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Look at \"highlight_red%28+0+%29%2B21=0\".
Remove extraneous zero \"highlight_red%28+0+%29\"
It becomes \"21=0\".
Result: \"21=0\"
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Universal Simplifier and Solver

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Done!

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