document.write( "Question 33867This question is from textbook
\n" ); document.write( ": How do I solve 2(2r-4)/5=3r+6/4-3/2 \n" ); document.write( "
Algebra.Com's Answer #20270 by ichudov(507)\"\" \"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: r=-0.727272727272727.
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  • Graphical form: Equation \"2%2A%282r-4%29%2F5=3r%2B6%2F4-3%2F2\" was fully solved.
  • Text form: 2*(2r-4)/5=3r+6/4-3/2 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+2%2A%282r-4%29%2F5=3r%2B6%2F4-3%2F2+%29\"
    For tutors: simplify_cartoon( 2*(2r-4)/5=3r+6/4-3/2 )
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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 \"2%2A%282%2Ar-4%29%2F5=3%2Ar%2Bhighlight_red%28+6+%29%2Fhighlight_red%28+4+%29-3%2F2\".
Factors 6 and 4 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes \"2%2A%282%2Ar-4%29%2F5=3%2Ar%2Bhighlight_green%28+3+%29%2Fhighlight_green%28+2+%29-3%2F2\".
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Look at \"2%2A%282%2Ar-4%29%2F5=3%2Ar%2Bhighlight_red%28+3%2F2+%29-highlight_red%28+3%2F2+%29\".
Added fractions or integers together
It becomes \"2%2A%282%2Ar-4%29%2F5=3%2Ar%2Bhighlight_green%28+0%2F2+%29\".
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Look at \"2%2A%282%2Ar-4%29%2F5=3%2Ar%2Bhighlight_red%28+0+%29%2Fhighlight_red%28+2+%29\".
Factors 0 and 2 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes \"2%2A%282%2Ar-4%29%2F5=3%2Ar%2Bhighlight_green%28+0+%29%2Fhighlight_green%28+1+%29\".
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Look at \"2%2A%282%2Ar-4%29%2F5=3%2Ar%2Bhighlight_red%28+0%2F1+%29\".
Remove extraneous zero \"highlight_red%28+0%2F1+%29\"
It becomes \"2%2A%282%2Ar-4%29%2F5=3%2Ar\".
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Look at \"2%2A%282%2Ar-4%29%2F5=highlight_red%28+3%2Ar+%29\".
Moved these terms to the left \"highlight_green%28+-3%2Ar+%29\"
It becomes \"2%2A%282%2Ar-4%29%2F5-highlight_green%28+3%2Ar+%29=0\".
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Look at \"highlight_red%28+2%2A%282%2Ar-4%29%2F5+%29-3%2Ar=0\".
Expanded term \"2%2F5\" by using associative property on \"%282%2Ar-4%29\"
It becomes \"highlight_green%28+2%2F5%2A2%2Ar+%29-highlight_green%28+2%2F5%2A4+%29-3%2Ar=0\".
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Look at \"highlight_red%28+2+%29%2F5%2Ahighlight_red%28+2+%29%2Ar-2%2F5%2A4-3%2Ar=0\".
Multiplied numerator integers
It becomes \"highlight_green%28+4+%29%2F5%2Ar-2%2F5%2A4-3%2Ar=0\".
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Look at \"4%2F5%2Ar-highlight_red%28+2+%29%2F5%2Ahighlight_red%28+4+%29-3%2Ar=0\".
Multiplied numerator integers
It becomes \"4%2F5%2Ar-highlight_green%28+8+%29%2F5-3%2Ar=0\".
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Look at \"4%2F5%2Ar-highlight_red%28+8%2F5+%29-3%2Ar=0\".
Moved \"-8%2F5\" to the right of expression
It becomes \"4%2F5%2Ar-3%2Ar-highlight_green%28+8%2F5+%29=0\".
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Look at \"highlight_red%28+4%2F5%2Ar+%29-highlight_red%28+3%2Ar+%29-8%2F5=0\".
Eliminated similar terms \"highlight_red%28+4%2F5%2Ar+%29\",\"highlight_red%28+-3%2Ar+%29\" replacing them with \"highlight_green%28+%284%2A1%2F5-3%29%2Ar+%29\"
It becomes \"highlight_green%28+%284%2A1%2F5-3%29%2Ar+%29-8%2F5=0\".
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Look at \"%28highlight_red%28+4+%29%2Ahighlight_red%28+1+%29%2F5-3%29%2Ar-8%2F5=0\".
Multiplied numerator integers
It becomes \"%28highlight_green%28+4+%29%2F5-3%29%2Ar-8%2F5=0\".
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Look at \"%28highlight_red%28+4%2F5+%29-highlight_red%28+3+%29%29%2Ar-8%2F5=0\".
Added fractions or integers together
It becomes \"%28-highlight_green%28+11%2F5+%29%29%2Ar-8%2F5=0\".
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Look at \"highlight_red%28+%28-highlight_red%28+11%2F5+%29%29%2Ar+%29-8%2F5=0\".
Remove unneeded parentheses around factor \"highlight_red%28+11+%29\",\"highlight_red%28+1%2F5+%29\"
It becomes \"-highlight_green%28+11+%29%2Fhighlight_green%28+5+%29%2Ar-8%2F5=0\".
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Look at \"highlight_red%28+-11%2F5%2Ar-8%2F5+%29=0\".
Solved linear equation \"highlight_red%28+-11%2F5%2Ar-8%2F5=0+%29\" equivalent to -2.2*r-1.6 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
\n" ); document.write( "This is an equation! Solutions: r=-0.727272727272727.

Universal Simplifier and Solver

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Done!
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