document.write( "Question 22146: 2.8-3w=4.6-w \n" ); document.write( "

Algebra.Com's Answer #10685 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=-0.9.
Graphical form: Equation $\"2.8-3w=4.6-w\"$ was fully solved.
Text form: 2.8-3w=4.6-w simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+2.8-3w=4.6-w+%29\"$
For tutors: simplify_cartoon( 2.8-3w=4.6-w )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"highlight_red%28+2.8+%29-3%2Aw=4.6-w\"$ .
Moved $\"2.8\"$ to the right of expression
It becomes $\"-3%2Aw%2Bhighlight_green%28+2.8+%29=4.6-w\"$ .
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Look at $\"-3%2Aw%2B2.8=highlight_red%28+4.6+%29-w\"$ .
Moved $\"4.6\"$ to the right of expression
It becomes $\"-3%2Aw%2B2.8=-w%2Bhighlight_green%28+4.6+%29\"$ .
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Look at $\"-3%2Aw%2B2.8=highlight_red%28+-w%2B4.6+%29\"$ .
Moved these terms to the left $\"highlight_green%28+w+%29\"$ , $\"highlight_green%28+-4.6+%29\"$
It becomes $\"-3%2Aw%2B2.8%2Bhighlight_green%28+w+%29-highlight_green%28+4.6+%29=0\"$ .
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Look at $\"-3%2Aw%2Bhighlight_red%28+2.8+%29%2Bw-highlight_red%28+4.6+%29=0\"$ .
Added fractions or integers together
It becomes $\"-3%2Aw-highlight_green%28+18%2F10+%29%2Bw=0\"$ .
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Look at $\"-3%2Aw-highlight_red%28+18%2F10+%29%2Bw=0\"$ .
Moved $\"-18%2F10\"$ to the right of expression
It becomes $\"-3%2Aw%2Bw-highlight_green%28+18%2F10+%29=0\"$ .
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Look at $\"-3%2Aw%2Bw-highlight_red%28+18+%29%2Fhighlight_red%28+10+%29=0\"$ .
Factors 18 and 10 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes $\"-3%2Aw%2Bw-highlight_green%28+9+%29%2Fhighlight_green%28+5+%29=0\"$ .
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Look at $\"-highlight_red%28+3%2Aw+%29%2Bhighlight_red%28+w+%29-9%2F5=0\"$ .
Eliminated similar terms $\"highlight_red%28+-3%2Aw+%29\"$ , $\"highlight_red%28+w+%29\"$ replacing them with $\"highlight_green%28+%28-3%2B1%29%2Aw+%29\"$
It becomes $\"highlight_green%28+%28-3%2B1%29%2Aw+%29-9%2F5=0\"$ .
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Look at $\"%28-highlight_red%28+3+%29%2Bhighlight_red%28+1+%29%29%2Aw-9%2F5=0\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+-2+%29%29%2Aw-9%2F5=0\"$ .
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Look at $\"%28highlight_red%28+-2+%29%29%2Aw-9%2F5=0\"$ .
Removed extra sign in front of $\"-2\"$
It becomes $\"%28-highlight_green%28+2+%29%29%2Aw-9%2F5=0\"$ .
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Look at $\"highlight_red%28+%28-highlight_red%28+2+%29%29%2Aw+%29-9%2F5=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+2+%29\"$
It becomes $\"-highlight_green%28+2+%29%2Aw-9%2F5=0\"$ .
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Look at $\"highlight_red%28+-2%2Aw-9%2F5+%29=0\"$ .
Solved linear equation $\"highlight_red%28+-2%2Aw-9%2F5=0+%29\"$ equivalent to -2*w-1.8 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: w=-0.9.

Universal Simplifier and Solver

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Done!

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