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-\frac{2}{3}N=15-7
Subtract 7 from both sides.
-\frac{2}{3}N=8
Subtract 7 from 15 to get 8.
N=8\left(-\frac{3}{2}\right)
Multiply both sides by -\frac{3}{2}, the reciprocal of -\frac{2}{3}.
N=\frac{8\left(-3\right)}{2}
Express 8\left(-\frac{3}{2}\right) as a single fraction.
N=\frac{-24}{2}
Multiply 8 and -3 to get -24.
N=-12
Divide -24 by 2 to get -12.