document.write( "Question 19129: 4(4-w)=3(2w+2) \n" ); document.write( "
Algebra.Com's Answer #9192 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=1.
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  • Graphical form: Equation \"4%2A%284-w%29=3%2A%282w%2B2%29\" was fully solved.
  • Text form: 4*(4-w)=3*(2w+2) simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+4%2A%284-w%29=3%2A%282w%2B2%29+%29\"
    For tutors: simplify_cartoon( 4*(4-w)=3*(2w+2) )
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  • If you have a website, here's a link to this solution.
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DETAILED EXPLANATION

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Look at \"4%2A%28highlight_red%28+4+%29-w%29=3%2A%282w%2B2%29\".
Moved \"4\" to the right of expression
It becomes \"4%2A%28-w%2Bhighlight_green%28+4+%29%29=3%2A%282w%2B2%29\".
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Look at \"4%2A%28-w%2B4%29=highlight_red%28+3%2A%282%2Aw%2B2%29+%29\".
Moved these terms to the left \"highlight_green%28+-3%2A%282%2Aw%2B2%29+%29\"
It becomes \"4%2A%28-w%2B4%29-highlight_green%28+3%2A%282%2Aw%2B2%29+%29=0\".
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Look at \"highlight_red%28+4%2A%28-w%2B4%29+%29-3%2A%282%2Aw%2B2%29=0\".
Expanded term \"4\" by using associative property on \"%28-w%2B4%29\"
It becomes \"-highlight_green%28+4%2Aw+%29%2Bhighlight_green%28+4%2A4+%29-3%2A%282%2Aw%2B2%29=0\".
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Look at \"-4%2Aw%2Bhighlight_red%28+4+%29%2Ahighlight_red%28+4+%29-3%2A%282%2Aw%2B2%29=0\".
Multiplied numerator integers
It becomes \"-4%2Aw%2Bhighlight_green%28+16+%29-3%2A%282%2Aw%2B2%29=0\".
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Look at \"-4%2Aw%2Bhighlight_red%28+16+%29-3%2A%282%2Aw%2B2%29=0\".
Moved \"16\" to the right of expression
It becomes \"-4%2Aw-3%2A%282%2Aw%2B2%29%2Bhighlight_green%28+16+%29=0\".
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Look at \"-4%2Aw-highlight_red%28+3%2A%282%2Aw%2B2%29+%29%2B16=0\".
Expanded term \"-3\" by using associative property on \"%282%2Aw%2B2%29\"
It becomes \"-4%2Aw-highlight_green%28+3%2A2%2Aw+%29-highlight_green%28+3%2A2+%29%2B16=0\".
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Look at \"-4%2Aw-highlight_red%28+3+%29%2Ahighlight_red%28+2+%29%2Aw-3%2A2%2B16=0\".
Multiplied numerator integers
It becomes \"-4%2Aw-highlight_green%28+6+%29%2Aw-3%2A2%2B16=0\".
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Look at \"-4%2Aw-6%2Aw-highlight_red%28+3+%29%2Ahighlight_red%28+2+%29%2B16=0\".
Multiplied numerator integers
It becomes \"-4%2Aw-6%2Aw-highlight_green%28+6+%29%2B16=0\".
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Look at \"-4%2Aw-6%2Aw-highlight_red%28+6+%29%2Bhighlight_red%28+16+%29=0\".
Added fractions or integers together
It becomes \"-4%2Aw-6%2Aw%2Bhighlight_green%28+10+%29=0\".
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Look at \"-highlight_red%28+4%2Aw+%29-highlight_red%28+6%2Aw+%29%2B10=0\".
Eliminated similar terms \"highlight_red%28+-4%2Aw+%29\",\"highlight_red%28+-6%2Aw+%29\" replacing them with \"highlight_green%28+%28-4-6%29%2Aw+%29\"
It becomes \"highlight_green%28+%28-4-6%29%2Aw+%29%2B10=0\".
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Look at \"%28-highlight_red%28+4+%29-highlight_red%28+6+%29%29%2Aw%2B10=0\".
Added fractions or integers together
It becomes \"%28highlight_green%28+-10+%29%29%2Aw%2B10=0\".
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Look at \"%28highlight_red%28+-10+%29%29%2Aw%2B10=0\".
Removed extra sign in front of \"-10\"
It becomes \"%28-highlight_green%28+10+%29%29%2Aw%2B10=0\".
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Look at \"highlight_red%28+%28-highlight_red%28+10+%29%29%2Aw+%29%2B10=0\".
Remove unneeded parentheses around factor \"highlight_red%28+10+%29\"
It becomes \"-highlight_green%28+10+%29%2Aw%2B10=0\".
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Look at \"highlight_red%28+-10%2Aw%2B10+%29=0\".
Solved linear equation \"highlight_red%28+-10%2Aw%2B10=0+%29\" equivalent to -10*w+10 =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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