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Solve for n
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n-\frac{n}{2}=0
Subtract \frac{n}{2} from both sides.
\frac{1}{2}n=0
Combine n and -\frac{n}{2} to get \frac{1}{2}n.
n=0
Product of two numbers is equal to 0 if at least one of them is 0. Since \frac{1}{2} is not equal to 0, n must be equal to 0.