SOLUTION: {{{ 5/2*r+5/2*(r+6)=135 }}}

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Question 216532:
Answer by ichudov(507)   (Show Source): You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: r=24.
  • Graphical form: Equation was fully solved.
  • Text form: 5/2*r+5/2*(r+6)=135 simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( 5/2*r+5/2*(r+6)=135 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Moved these terms to the left highlight_green%28+-135+%29
It becomes .
Look at .
Expanded term 5%2F2 by using associative property on %28r%2B6%29
It becomes .
Look at .
Factors 6 and 2 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Removed extra sign in front of -120
It becomes .
Look at .
Eliminated similar terms highlight_red%28+5%2F2%2Ar+%29,highlight_red%28+5%2F2%2Ar+%29 replacing them with highlight_green%28+%285%2A1%2F2%2B5%2A1%2F2%29%2Ar+%29
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+10+%29,highlight_red%28+1%2F2+%29
It becomes .
Look at .
Factors 10 and 2 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes .
Look at .
Remove extraneous '1' from product highlight_red%28+1%2F1+%29
It becomes .
Look at .
Solved linear equation highlight_red%28+5%2Ar-120=0+%29 equivalent to 5*r-120 =0
It becomes .
Result:
This is an equation! Solutions: r=24.

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