SOLUTION: 1\3(r+6)=1\6(r+8)

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Question 127514: 1\3(r+6)=1\6(r+8)
Answer by jim_thompson5910(14897) About Me  (Show Source):
You can put this solution on YOUR website!

%281%2F3%29%28r%2B6%29=%281%2F6%29%28r%2B8%29 Start with the given equation



%286%29%28%281%2F3%29%28r%2B6%29%29=%286%29%28%281%2F6%29%28r%2B8%29%29 Multiply both sides by the LCM of 6. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)



2%28r%2B6%29=1%28r%2B8%29 Distribute and multiply the LCM to each side



2r%2B12=1r%2B8 Distribute


2r=r%2B8-12Subtract 12 from both sides


2r-r=8-12 Subtract r from both sides


r=8-12 Combine like terms on the left side


r=-4 Combine like terms on the right side

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Answer:
So our answer is r=-4