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\frac{2}{5}n+7-n=0
Subtract n from both sides.
-\frac{3}{5}n+7=0
Combine \frac{2}{5}n and -n to get -\frac{3}{5}n.
-\frac{3}{5}n=-7
Subtract 7 from both sides. Anything subtracted from zero gives its negation.
n=-7\left(-\frac{5}{3}\right)
Multiply both sides by -\frac{5}{3}, the reciprocal of -\frac{3}{5}.
n=\frac{-7\left(-5\right)}{3}
Express -7\left(-\frac{5}{3}\right) as a single fraction.
n=\frac{35}{3}
Multiply -7 and -5 to get 35.