document.write( "Question 22147: 2.85a-7=12.85a-2 \n" ); document.write( "

Algebra.Com's Answer #10684 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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This is an equation! Solutions: a=-0.5.
Graphical form: Equation $\"2.85a-7=12.85a-2\"$ was fully solved.
Text form: 2.85a-7=12.85a-2 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+2.85a-7=12.85a-2+%29\"$
For tutors: simplify_cartoon( 2.85a-7=12.85a-2 )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"2.85%2Aa-7=highlight_red%28+12.85%2Aa-2+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-12.85%2Aa+%29\"$ , $\"highlight_green%28+2+%29\"$
It becomes $\"2.85%2Aa-7-highlight_green%28+12.85%2Aa+%29%2Bhighlight_green%28+2+%29=0\"$ .
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Look at $\"2.85%2Aa-highlight_red%28+7+%29-12.85%2Aa%2Bhighlight_red%28+2+%29=0\"$ .
Added fractions or integers together
It becomes $\"2.85%2Aa%2Bhighlight_green%28+-5+%29-12.85%2Aa=0\"$ .
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Look at $\"2.85%2Aa%2Bhighlight_red%28+-5+%29-12.85%2Aa=0\"$ .
Moved $\"-5\"$ to the right of expression
It becomes $\"2.85%2Aa-12.85%2Aa%2Bhighlight_green%28+-5+%29=0\"$ .
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Look at $\"2.85%2Aa-12.85%2Aa%2Bhighlight_red%28+-5+%29=0\"$ .
Removed extra sign in front of $\"-5\"$
It becomes $\"2.85%2Aa-12.85%2Aa-highlight_green%28+5+%29=0\"$ .
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Look at $\"highlight_red%28+2.85%2Aa+%29-highlight_red%28+12.85%2Aa+%29-5=0\"$ .
Eliminated similar terms $\"highlight_red%28+2.85%2Aa+%29\"$ , $\"highlight_red%28+-12.85%2Aa+%29\"$ replacing them with $\"highlight_green%28+%282.85-12.85%29%2Aa+%29\"$
It becomes $\"highlight_green%28+%282.85-12.85%29%2Aa+%29-5=0\"$ .
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Look at $\"%28highlight_red%28+2.85+%29-highlight_red%28+12.85+%29%29%2Aa-5=0\"$ .
Added fractions or integers together
It becomes $\"%28-highlight_green%28+1000%2F100+%29%29%2Aa-5=0\"$ .
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Look at $\"highlight_red%28+%28-highlight_red%28+1000%2F100+%29%29%2Aa+%29-5=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+1000+%29\"$ , $\"highlight_red%28+1%2F100+%29\"$
It becomes $\"-highlight_green%28+1000+%29%2Fhighlight_green%28+100+%29%2Aa-5=0\"$ .
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Look at $\"-highlight_red%28+1000+%29%2Fhighlight_red%28+100+%29%2Aa-5=0\"$ .
Factors 1000 and 100 have greatest common factor (GCF) of 100. Reducing fraction.
It becomes $\"-highlight_green%28+10+%29%2Fhighlight_green%28+1+%29%2Aa-5=0\"$ .
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Look at $\"-10%2Fhighlight_red%28+1+%29%2Aa-5=0\"$ .
Remove extraneous '1' from product $\"highlight_red%28+1%2F1+%29\"$
It becomes $\"-10%2Aa-5=0\"$ .
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Look at $\"highlight_red%28+-10%2Aa-5+%29=0\"$ .
Solved linear equation $\"highlight_red%28+-10%2Aa-5=0+%29\"$ equivalent to -10*a-5 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
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Universal Simplifier and Solver

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Done!

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