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\frac{1}{2}k-7=-16
Swap sides so that all variable terms are on the left hand side.
\frac{1}{2}k=-16+7
Add 7 to both sides.
\frac{1}{2}k=-9
Add -16 and 7 to get -9.
k=-9\times 2
Multiply both sides by 2, the reciprocal of \frac{1}{2}.
k=-18
Multiply -9 and 2 to get -18.