document.write( "Question 306971: 100-2w-50=50+3w \n" ); document.write( "

Algebra.Com's Answer #219617 by ichudov(507) $\"\"$ $\"About$

You can put this solution on YOUR website!
Actually you could solve it right from the front page of the mobile website.\r
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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=0.
Graphical form: $\"100-2w-50=50%2B3w\"$ simplifies to $\"-5=0\"$
Text form: 100-2w-50=50+3w simplifies to -5=0
Cartoon (animation) form: $\"simplify_cartoon%28+100-2w-50=50%2B3w+%29\"$
For tutors: simplify_cartoon( 100-2w-50=50+3w )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"highlight_red%28+100+%29-2%2Aw-highlight_red%28+50+%29=50%2B3w\"$ .
Added fractions or integers together
It becomes $\"highlight_green%28+50+%29-2%2Aw=50%2B3w\"$ .
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Look at $\"highlight_red%28+50+%29-2%2Aw=50%2B3w\"$ .
Moved $\"50\"$ to the right of expression
It becomes $\"-2%2Aw%2Bhighlight_green%28+50+%29=50%2B3w\"$ .
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Look at $\"-2%2Aw%2B50=highlight_red%28+50+%29%2B3%2Aw\"$ .
Moved $\"50\"$ to the right of expression
It becomes $\"-2%2Aw%2B50=3%2Aw%2Bhighlight_green%28+50+%29\"$ .
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Look at $\"-2%2Aw%2B50=highlight_red%28+3%2Aw%2B50+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-3%2Aw+%29\"$ , $\"highlight_green%28+-50+%29\"$
It becomes $\"-2%2Aw%2B50-highlight_green%28+3%2Aw+%29-highlight_green%28+50+%29=0\"$ .
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Look at $\"-2%2Aw%2Bhighlight_red%28+50+%29-3%2Aw-highlight_red%28+50+%29=0\"$ .
Added fractions or integers together
It becomes $\"-2%2Aw%2Bhighlight_green%28+0+%29-3%2Aw=0\"$ .
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Look at $\"-2%2Aw%2Bhighlight_red%28+0+%29-3%2Aw=0\"$ .
Moved $\"0\"$ to the right of expression
It becomes $\"-2%2Aw-3%2Aw%2Bhighlight_green%28+0+%29=0\"$ .
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Look at $\"-2%2Aw-3%2Aw%2Bhighlight_red%28+0+%29=0\"$ .
Remove extraneous zero $\"highlight_red%28+0+%29\"$
It becomes $\"-2%2Aw-3%2Aw=0\"$ .
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Look at $\"-highlight_red%28+2%2Aw+%29-highlight_red%28+3%2Aw+%29=0\"$ .
Eliminated similar terms $\"highlight_red%28+-2%2Aw+%29\"$ , $\"highlight_red%28+-3%2Aw+%29\"$ replacing them with $\"highlight_green%28+%28-2-3%29%2Aw+%29\"$
It becomes $\"highlight_green%28+%28-2-3%29%2Aw+%29=0\"$ .
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Look at $\"%28-highlight_red%28+2+%29-highlight_red%28+3+%29%29%2Aw=0\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+-5+%29%29%2Aw=0\"$ .
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Look at $\"%28highlight_red%28+-5+%29%29%2Aw=0\"$ .
Removed extra sign in front of $\"-5\"$
It becomes $\"%28-highlight_green%28+5+%29%29%2Aw=0\"$ .
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Look at $\"highlight_red%28+%28-highlight_red%28+5+%29%29%2Aw+%29=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+5+%29\"$
It becomes $\"-highlight_green%28+5+%29%2Aw=0\"$ .
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Look at $\"-5%2Ahighlight_red%28+w+%29=0\"$ .
Notes known roots (w-(0))
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Look at $\"-highlight_red%28+5%2A%28highlight_red%28+1+%29%29+%29=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+1+%29\"$
It becomes $\"-5%2Ahighlight_green%28+1+%29=0\"$ .
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Look at $\"-highlight_red%28+5+%29%2Ahighlight_red%28+1+%29=0\"$ .
Multiplied numerator integers
It becomes $\"-highlight_green%28+5+%29=0\"$ .
Result: $\"-5=0\"$
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Universal Simplifier and Solver

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Done!

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