Question 97629
{{{(-5/6)q-(q-1/2)=(1/4)(q+1)}}} Start with the given equation



{{{(12)((-5/6)q-(q-1/2))=(12)((1/4)(q+1))}}} Multiply both sides by the LCM of 12. 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>)




{{{-10q-12q+6=3q+3}}} Distribute and multiply




{{{-22q+6=3q+3}}} Combine like terms on the left side



{{{-22q=3q+3-6}}}Subtract 6 from both sides



{{{-22q-3q=3-6}}} Subtract 3q from both sides



{{{-25q=3-6}}} Combine like terms on the left side



{{{-25q=-3}}} Combine like terms on the right side



{{{q=(-3)/(-25)}}} Divide both sides by -25 to isolate q




{{{q=3 / 25}}} Reduce


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Answer:

So our answer is {{{q=3 / 25}}}  (which is {{{q=0.12}}} in decimal form)