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Solve for z
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z=\frac{9}{5}z-16
Divide each term of 9z-80 by 5 to get \frac{9}{5}z-16.
z-\frac{9}{5}z=-16
Subtract \frac{9}{5}z from both sides.
-\frac{4}{5}z=-16
Combine z and -\frac{9}{5}z to get -\frac{4}{5}z.
z=-16\left(-\frac{5}{4}\right)
Multiply both sides by -\frac{5}{4}, the reciprocal of -\frac{4}{5}.
z=\frac{-16\left(-5\right)}{4}
Express -16\left(-\frac{5}{4}\right) as a single fraction.
z=\frac{80}{4}
Multiply -16 and -5 to get 80.
z=20
Divide 80 by 4 to get 20.