Question 127514


{{{(1/3)(r+6)=(1/6)(r+8)}}} Start with the given equation




{{{(6)((1/3)(r+6))=(6)((1/6)(r+8))}}} 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 <a href=http://www.algebra.com/algebra/homework/divisibility/least-common-multiple.solver>solver</a>)




{{{2(r+6)=1(r+8)}}} Distribute and multiply the LCM to each side




{{{2r+12=1r+8}}} Distribute



{{{2r=r+8-12}}}Subtract 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}}}