document.write( "Question 293017: 7a=2(a-10) \n" ); document.write( "
Algebra.Com's Answer #211538 by ichudov(507)\"\" \"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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  • This is an equation! Solutions: a=-4.
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  • Graphical form: Equation \"7a=2%2A%28a-10%29\" was fully solved.
  • Text form: 7a=2*(a-10) simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+7a=2%2A%28a-10%29+%29\"
    For tutors: simplify_cartoon( 7a=2*(a-10) )
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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 \"7%2Aa=highlight_red%28+2%2A%28a-10%29+%29\".
Moved these terms to the left \"highlight_green%28+-2%2A%28a-10%29+%29\"
It becomes \"7%2Aa-highlight_green%28+2%2A%28a-10%29+%29=0\".
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Look at \"7%2Aa-highlight_red%28+2%2A%28a-10%29+%29=0\".
Expanded term \"-2\" by using associative property on \"%28a-10%29\"
It becomes \"7%2Aa-highlight_green%28+2%2Aa+%29%2Bhighlight_green%28+2%2A10+%29=0\".
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Look at \"7%2Aa-2%2Aa%2Bhighlight_red%28+2+%29%2Ahighlight_red%28+10+%29=0\".
Multiplied numerator integers
It becomes \"7%2Aa-2%2Aa%2Bhighlight_green%28+20+%29=0\".
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Look at \"highlight_red%28+7%2Aa+%29-highlight_red%28+2%2Aa+%29%2B20=0\".
Eliminated similar terms \"highlight_red%28+7%2Aa+%29\",\"highlight_red%28+-2%2Aa+%29\" replacing them with \"highlight_green%28+%287-2%29%2Aa+%29\"
It becomes \"highlight_green%28+%287-2%29%2Aa+%29%2B20=0\".
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Look at \"%28highlight_red%28+7+%29-highlight_red%28+2+%29%29%2Aa%2B20=0\".
Added fractions or integers together
It becomes \"%28highlight_green%28+5+%29%29%2Aa%2B20=0\".
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Look at \"highlight_red%28+%28highlight_red%28+5+%29%29%2Aa+%29%2B20=0\".
Remove unneeded parentheses around factor \"highlight_red%28+5+%29\"
It becomes \"highlight_green%28+5+%29%2Aa%2B20=0\".
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Look at \"highlight_red%28+5%2Aa%2B20+%29=0\".
Solved linear equation \"highlight_red%28+5%2Aa%2B20=0+%29\" equivalent to 5*a+20 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
\n" ); document.write( "This is an equation! Solutions: a=-4.

Universal Simplifier and Solver

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Done!
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