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-16\left(-\frac{3}{2}\right)=f
Multiply both sides by -\frac{3}{2}, the reciprocal of -\frac{2}{3}.
\frac{-16\left(-3\right)}{2}=f
Express -16\left(-\frac{3}{2}\right) as a single fraction.
\frac{48}{2}=f
Multiply -16 and -3 to get 48.
24=f
Divide 48 by 2 to get 24.
f=24
Swap sides so that all variable terms are on the left hand side.