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-\frac{1}{4}k=-16+12
Add 12 to both sides.
-\frac{1}{4}k=-4
Add -16 and 12 to get -4.
k=-4\left(-4\right)
Multiply both sides by -4, the reciprocal of -\frac{1}{4}.
k=16
Multiply -4 and -4 to get 16.