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\frac{3}{2}z=54
Combine 2z and -\frac{1}{2}z to get \frac{3}{2}z.
z=54\times \frac{2}{3}
Multiply both sides by \frac{2}{3}, the reciprocal of \frac{3}{2}.
z=\frac{54\times 2}{3}
Express 54\times \frac{2}{3} as a single fraction.
z=\frac{108}{3}
Multiply 54 and 2 to get 108.
z=36
Divide 108 by 3 to get 36.