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30-\frac{3}{2}t=12
Swap sides so that all variable terms are on the left hand side.
-\frac{3}{2}t=12-30
Subtract 30 from both sides.
-\frac{3}{2}t=-18
Subtract 30 from 12 to get -18.
t=-18\left(-\frac{2}{3}\right)
Multiply both sides by -\frac{2}{3}, the reciprocal of -\frac{3}{2}.
t=\frac{-18\left(-2\right)}{3}
Express -18\left(-\frac{2}{3}\right) as a single fraction.
t=\frac{36}{3}
Multiply -18 and -2 to get 36.
t=12
Divide 36 by 3 to get 12.