Question 101361
{{{3(q-1/2)=12}}} Start with the given equation



{{{q-1/2=4}}} Divide both sides by 3



{{{q=4+1/2}}} Add {{{1/2}}} to both sides



{{{q=9/2}}} Combine like terms



So our answer is {{{q=9/2}}} 



Check:


{{{3(q-1/2)=12}}} Start with the given equation



{{{3(9/2-1/2)=12}}} Plug in {{{q=9/2}}}



{{{3(8/2)=12}}} Combine the fractions



{{{3(4)=12}}} Reduce



{{{12=12}}} Multiply. Since the two sides of the equation are equal, this verifies our answer.