document.write( "Question 24820: 4/3u-6=7/3u+8 \n" ); document.write( "

Algebra.Com's Answer #13281 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: u=-14.
Graphical form: Equation $\"%284%2F3%29%2Au-6=%287%2F3%29%2Au%2B8\"$ was fully solved.
Text form: (4/3)*u-6=(7/3)*u+8 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+%284%2F3%29%2Au-6=%287%2F3%29%2Au%2B8+%29\"$
For tutors: simplify_cartoon( (4/3)*u-6=(7/3)*u+8 )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"highlight_red%28+%28highlight_red%28+4%2F3+%29%29%2Au+%29-6=%287%2F3%29%2Au%2B8\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+4+%29\"$ , $\"highlight_red%28+1%2F3+%29\"$
It becomes $\"highlight_green%28+4+%29%2Fhighlight_green%28+3+%29%2Au-6=%287%2F3%29%2Au%2B8\"$ .
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Look at $\"4%2F3%2Au-6=highlight_red%28+%28highlight_red%28+7%2F3+%29%29%2Au+%29%2B8\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+7+%29\"$ , $\"highlight_red%28+1%2F3+%29\"$
It becomes $\"4%2F3%2Au-6=highlight_green%28+7+%29%2Fhighlight_green%28+3+%29%2Au%2B8\"$ .
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Look at $\"4%2F3%2Au-6=highlight_red%28+7%2F3%2Au%2B8+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-7%2F3%2Au+%29\"$ , $\"highlight_green%28+-8+%29\"$
It becomes $\"4%2F3%2Au-6-highlight_green%28+7%2F3%2Au+%29-highlight_green%28+8+%29=0\"$ .
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Look at $\"4%2F3%2Au-highlight_red%28+6+%29-7%2F3%2Au-highlight_red%28+8+%29=0\"$ .
Added fractions or integers together
It becomes $\"4%2F3%2Au%2Bhighlight_green%28+-14+%29-7%2F3%2Au=0\"$ .
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Look at $\"4%2F3%2Au%2Bhighlight_red%28+-14+%29-7%2F3%2Au=0\"$ .
Moved $\"-14\"$ to the right of expression
It becomes $\"4%2F3%2Au-7%2F3%2Au%2Bhighlight_green%28+-14+%29=0\"$ .
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Look at $\"4%2F3%2Au-7%2F3%2Au%2Bhighlight_red%28+-14+%29=0\"$ .
Removed extra sign in front of $\"-14\"$
It becomes $\"4%2F3%2Au-7%2F3%2Au-highlight_green%28+14+%29=0\"$ .
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Look at $\"highlight_red%28+4%2F3%2Au+%29-highlight_red%28+7%2F3%2Au+%29-14=0\"$ .
Eliminated similar terms $\"highlight_red%28+4%2F3%2Au+%29\"$ , $\"highlight_red%28+-7%2F3%2Au+%29\"$ replacing them with $\"highlight_green%28+%284%2A1%2F3-7%2A1%2F3%29%2Au+%29\"$
It becomes $\"highlight_green%28+%284%2A1%2F3-7%2A1%2F3%29%2Au+%29-14=0\"$ .
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Look at $\"%28highlight_red%28+4+%29%2Ahighlight_red%28+1+%29%2F3-7%2A1%2F3%29%2Au-14=0\"$ .
Multiplied numerator integers
It becomes $\"%28highlight_green%28+4+%29%2F3-7%2A1%2F3%29%2Au-14=0\"$ .
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Look at $\"%284%2F3-highlight_red%28+7+%29%2Ahighlight_red%28+1+%29%2F3%29%2Au-14=0\"$ .
Multiplied numerator integers
It becomes $\"%284%2F3-highlight_green%28+7+%29%2F3%29%2Au-14=0\"$ .
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Look at $\"%28highlight_red%28+4%2F3+%29-highlight_red%28+7%2F3+%29%29%2Au-14=0\"$ .
Added fractions or integers together
It becomes $\"%28-highlight_green%28+3%2F3+%29%29%2Au-14=0\"$ .
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Look at $\"%28-highlight_red%28+3+%29%2Fhighlight_red%28+3+%29%29%2Au-14=0\"$ .
Reduce similar several occurrences of $\"highlight_red%28+3+%29\"$ to $\"highlight_green%28+1+%29\"$
It becomes $\"%28-highlight_green%28+1+%29%29%2Au-14=0\"$ .
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Look at $\"highlight_red%28+%28-highlight_red%28+1+%29%29%2Au+%29-14=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+1+%29\"$
It becomes $\"-highlight_green%28+1+%29%2Au-14=0\"$ .
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Look at $\"-highlight_red%28+1+%29%2Au-14=0\"$ .
Remove extraneous '1' from product $\"highlight_red%28+1+%29\"$
It becomes $\"-u-14=0\"$ .
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Look at $\"highlight_red%28+-u-14+%29=0\"$ .
Solved linear equation $\"highlight_red%28+-u-14=0+%29\"$ equivalent to -u-14 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: u=-14.

Universal Simplifier and Solver

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Done!

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