document.write( "Question 213089: 2n+3+4n=2n+5+4n-2 \n" ); document.write( "

Algebra.Com's Answer #160986 by drj(1380) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"2n%2B3%2B4n=2n%2B5%2B4n-2\"$ \r
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Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

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Graphical form: Equation $\"2n%2B3%2B4n=2n%2B5%2B4n-2\"$ was fully solved.
Text form: 2n+3+4n=2n+5+4n-2 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+2n%2B3%2B4n=2n%2B5%2B4n-2+%29\"$
For tutors: simplify_cartoon( 2n+3+4n=2n+5+4n-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 $\"2%2An%2Bhighlight_red%28+3+%29%2B4%2An=2n%2B5%2B4n-2\"$ .
Moved $\"3\"$ to the right of expression
It becomes $\"2%2An%2B4%2An%2Bhighlight_green%28+3+%29=2n%2B5%2B4n-2\"$ .
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Look at $\"highlight_red%28+2%2An+%29%2Bhighlight_red%28+4%2An+%29%2B3=2n%2B5%2B4n-2\"$ .
Eliminated similar terms $\"highlight_red%28+2%2An+%29\"$ , $\"highlight_red%28+4%2An+%29\"$ replacing them with $\"highlight_green%28+%282%2B4%29%2An+%29\"$
It becomes $\"highlight_green%28+%282%2B4%29%2An+%29%2B3=2n%2B5%2B4n-2\"$ .
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Look at $\"%28highlight_red%28+2+%29%2Bhighlight_red%28+4+%29%29%2An%2B3=2n%2B5%2B4n-2\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+6+%29%29%2An%2B3=2n%2B5%2B4n-2\"$ .
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Look at $\"highlight_red%28+%28highlight_red%28+6+%29%29%2An+%29%2B3=2n%2B5%2B4n-2\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+6+%29\"$
It becomes $\"highlight_green%28+6+%29%2An%2B3=2n%2B5%2B4n-2\"$ .
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Look at $\"6%2An%2B3=2%2An%2Bhighlight_red%28+5+%29%2B4%2An-highlight_red%28+2+%29\"$ .
Added fractions or integers together
It becomes $\"6%2An%2B3=2%2An%2Bhighlight_green%28+3+%29%2B4%2An\"$ .
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Look at $\"6%2An%2B3=2%2An%2Bhighlight_red%28+3+%29%2B4%2An\"$ .
Moved $\"3\"$ to the right of expression
It becomes $\"6%2An%2B3=2%2An%2B4%2An%2Bhighlight_green%28+3+%29\"$ .
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Look at $\"6%2An%2B3=highlight_red%28+2%2An+%29%2Bhighlight_red%28+4%2An+%29%2B3\"$ .
Eliminated similar terms $\"highlight_red%28+2%2An+%29\"$ , $\"highlight_red%28+4%2An+%29\"$ replacing them with $\"highlight_green%28+%282%2B4%29%2An+%29\"$
It becomes $\"6%2An%2B3=highlight_green%28+%282%2B4%29%2An+%29%2B3\"$ .
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Look at $\"6%2An%2B3=%28highlight_red%28+2+%29%2Bhighlight_red%28+4+%29%29%2An%2B3\"$ .
Added fractions or integers together
It becomes $\"6%2An%2B3=%28highlight_green%28+6+%29%29%2An%2B3\"$ .
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Look at $\"6%2An%2B3=highlight_red%28+%28highlight_red%28+6+%29%29%2An+%29%2B3\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+6+%29\"$
It becomes $\"6%2An%2B3=highlight_green%28+6+%29%2An%2B3\"$ .
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Look at $\"6%2An%2B3=highlight_red%28+6%2An%2B3+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-6%2An+%29\"$ , $\"highlight_green%28+-3+%29\"$
It becomes $\"6%2An%2B3-highlight_green%28+6%2An+%29-highlight_green%28+3+%29=0\"$ .
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Look at $\"6%2An%2Bhighlight_red%28+3+%29-6%2An-highlight_red%28+3+%29=0\"$ .
Added fractions or integers together
It becomes $\"6%2An%2Bhighlight_green%28+0+%29-6%2An=0\"$ .
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Look at $\"6%2An%2Bhighlight_red%28+0+%29-6%2An=0\"$ .
Moved $\"0\"$ to the right of expression
It becomes $\"6%2An-6%2An%2Bhighlight_green%28+0+%29=0\"$ .
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Look at $\"6%2An-6%2An%2Bhighlight_red%28+0+%29=0\"$ .
Remove extraneous zero $\"highlight_red%28+0+%29\"$
It becomes $\"6%2An-6%2An=0\"$ .
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Look at $\"highlight_red%28+6%2An+%29-highlight_red%28+6%2An+%29=0\"$ .
Eliminated similar terms $\"highlight_red%28+6%2An+%29\"$ , $\"highlight_red%28+-6%2An+%29\"$ replacing them with $\"highlight_green%28+%286-6%29%2An+%29\"$
It becomes $\"highlight_green%28+%286-6%29%2An+%29=0\"$ .
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Look at $\"highlight_red%28+%286-6%29%2An+%29=0\"$ .
Since $\"highlight_red%28+%286-6%29%2An+%29\"$ has zero as a factor, it should be replaced with a zero
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Look at $\"0=0\"$ .
Added fractions or integers together
It becomes $\"0=0\"$ .
Result: $\"0=0\"$
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Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful.\r
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\n" ); document.write( "\n" ); document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r
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\n" ); document.write( "\n" ); document.write( "Good luck in your studies!\r
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\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J
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