Solve for a
a=24
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0=16-\frac{2}{3}a
Combine \frac{2}{3}a and -\frac{2}{3}a to get 0.
16-\frac{2}{3}a=0
Swap sides so that all variable terms are on the left hand side.
-\frac{2}{3}a=-16
Subtract 16 from both sides. Anything subtracted from zero gives its negation.
a=-16\left(-\frac{3}{2}\right)
Multiply both sides by -\frac{3}{2}, the reciprocal of -\frac{2}{3}.
a=\frac{-16\left(-3\right)}{2}
Express -16\left(-\frac{3}{2}\right) as a single fraction.
a=\frac{48}{2}
Multiply -16 and -3 to get 48.
a=24
Divide 48 by 2 to get 24.
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