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\frac{1}{2}a-7=2
Swap sides so that all variable terms are on the left hand side.
\frac{1}{2}a=2+7
Add 7 to both sides.
\frac{1}{2}a=9
Add 2 and 7 to get 9.
a=9\times 2
Multiply both sides by 2, the reciprocal of \frac{1}{2}.
a=18
Multiply 9 and 2 to get 18.