document.write( "Question 22461: 5w-3=8(w+3) solve w \n" ); document.write( "

Algebra.Com's Answer #10915 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: w=-9.
Graphical form: Equation $\"5w-3=8%2A%28w%2B3%29\"$ was fully solved.
Text form: 5w-3=8*(w+3) simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+5w-3=8%2A%28w%2B3%29+%29\"$
For tutors: simplify_cartoon( 5w-3=8*(w+3) )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"5%2Aw-3=highlight_red%28+8%2A%28w%2B3%29+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-8%2A%28w%2B3%29+%29\"$
It becomes $\"5%2Aw-3-highlight_green%28+8%2A%28w%2B3%29+%29=0\"$ .
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Look at $\"5%2Aw-highlight_red%28+3+%29-8%2A%28w%2B3%29=0\"$ .
Moved $\"-3\"$ to the right of expression
It becomes $\"5%2Aw-8%2A%28w%2B3%29-highlight_green%28+3+%29=0\"$ .
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Look at $\"5%2Aw-highlight_red%28+8%2A%28w%2B3%29+%29-3=0\"$ .
Expanded term $\"-8\"$ by using associative property on $\"%28w%2B3%29\"$
It becomes $\"5%2Aw-highlight_green%28+8%2Aw+%29-highlight_green%28+8%2A3+%29-3=0\"$ .
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Look at $\"5%2Aw-8%2Aw-highlight_red%28+8+%29%2Ahighlight_red%28+3+%29-3=0\"$ .
Multiplied numerator integers
It becomes $\"5%2Aw-8%2Aw-highlight_green%28+24+%29-3=0\"$ .
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Look at $\"5%2Aw-8%2Aw-highlight_red%28+24+%29-highlight_red%28+3+%29=0\"$ .
Added fractions or integers together
It becomes $\"5%2Aw-8%2Aw%2Bhighlight_green%28+-27+%29=0\"$ .
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Look at $\"5%2Aw-8%2Aw%2Bhighlight_red%28+-27+%29=0\"$ .
Removed extra sign in front of $\"-27\"$
It becomes $\"5%2Aw-8%2Aw-highlight_green%28+27+%29=0\"$ .
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Look at $\"highlight_red%28+5%2Aw+%29-highlight_red%28+8%2Aw+%29-27=0\"$ .
Eliminated similar terms $\"highlight_red%28+5%2Aw+%29\"$ , $\"highlight_red%28+-8%2Aw+%29\"$ replacing them with $\"highlight_green%28+%285-8%29%2Aw+%29\"$
It becomes $\"highlight_green%28+%285-8%29%2Aw+%29-27=0\"$ .
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Look at $\"%28highlight_red%28+5+%29-highlight_red%28+8+%29%29%2Aw-27=0\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+-3+%29%29%2Aw-27=0\"$ .
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Look at $\"%28highlight_red%28+-3+%29%29%2Aw-27=0\"$ .
Removed extra sign in front of $\"-3\"$
It becomes $\"%28-highlight_green%28+3+%29%29%2Aw-27=0\"$ .
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Look at $\"highlight_red%28+%28-highlight_red%28+3+%29%29%2Aw+%29-27=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+3+%29\"$
It becomes $\"-highlight_green%28+3+%29%2Aw-27=0\"$ .
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Look at $\"highlight_red%28+-3%2Aw-27+%29=0\"$ .
Solved linear equation $\"highlight_red%28+-3%2Aw-27=0+%29\"$ equivalent to -3*w-27 =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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