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\frac{1}{2}n-3-\frac{2}{3}n=4
Subtract \frac{2}{3}n from both sides.
-\frac{1}{6}n-3=4
Combine \frac{1}{2}n and -\frac{2}{3}n to get -\frac{1}{6}n.
-\frac{1}{6}n=4+3
Add 3 to both sides.
-\frac{1}{6}n=7
Add 4 and 3 to get 7.
n=7\left(-6\right)
Multiply both sides by -6, the reciprocal of -\frac{1}{6}.
n=-42
Multiply 7 and -6 to get -42.