document.write( "Question 22788: solve. a-16=a/4+2 \n" ); document.write( "
Algebra.Com's Answer #11166 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=24.
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  • Graphical form: Equation \"a-16=%28a%2F4%29%2B2\" was fully solved.
  • Text form: a-16=(a/4)+2 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+a-16=%28a%2F4%29%2B2+%29\"
    For tutors: simplify_cartoon( a-16=(a/4)+2 )
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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 \"a-16=highlight_red%28+%28a%2F4%29+%29%2B2\".
Remove unneeded parentheses around terms \"highlight_red%28+a%2F4+%29\"
It becomes \"a-16=highlight_green%28+a%2F4+%29%2B2\".
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Look at \"a-16=highlight_red%28+a%2F4%2B2+%29\".
Moved these terms to the left \"highlight_green%28+-a%2F4+%29\",\"highlight_green%28+-2+%29\"
It becomes \"a-16-highlight_green%28+a%2F4+%29-highlight_green%28+2+%29=0\".
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Look at \"a-highlight_red%28+16+%29-a%2F4-highlight_red%28+2+%29=0\".
Added fractions or integers together
It becomes \"a%2Bhighlight_green%28+-18+%29-a%2F4=0\".
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Look at \"a%2Bhighlight_red%28+-18+%29-a%2F4=0\".
Moved \"-18\" to the right of expression
It becomes \"a-a%2F4%2Bhighlight_green%28+-18+%29=0\".
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Look at \"a-a%2F4%2Bhighlight_red%28+-18+%29=0\".
Removed extra sign in front of \"-18\"
It becomes \"a-a%2F4-highlight_green%28+18+%29=0\".
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Look at \"highlight_red%28+a+%29-highlight_red%28+a%2F4+%29-18=0\".
Eliminated similar terms \"highlight_red%28+a+%29\",\"highlight_red%28+-a%2F4+%29\" replacing them with \"highlight_green%28+%281-1%2F4%29%2Aa+%29\"
It becomes \"highlight_green%28+%281-1%2F4%29%2Aa+%29-18=0\".
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Look at \"%28highlight_red%28+1+%29-highlight_red%28+1%2F4+%29%29%2Aa-18=0\".
Added fractions or integers together
It becomes \"%28highlight_green%28+3%2F4+%29%29%2Aa-18=0\".
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Look at \"highlight_red%28+%28highlight_red%28+3%2F4+%29%29%2Aa+%29-18=0\".
Remove unneeded parentheses around factor \"highlight_red%28+3+%29\",\"highlight_red%28+1%2F4+%29\"
It becomes \"highlight_green%28+3+%29%2Fhighlight_green%28+4+%29%2Aa-18=0\".
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Look at \"highlight_red%28+3%2F4%2Aa-18+%29=0\".
Solved linear equation \"highlight_red%28+3%2F4%2Aa-18=0+%29\" equivalent to 0.75*a-18 =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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