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8\times \frac{1}{2}=n\times 2
Variable n cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 8n, the least common multiple of n,8.
\frac{8}{2}=n\times 2
Multiply 8 and \frac{1}{2} to get \frac{8}{2}.
4=n\times 2
Divide 8 by 2 to get 4.
n\times 2=4
Swap sides so that all variable terms are on the left hand side.
n=\frac{4}{2}
Divide both sides by 2.
n=2
Divide 4 by 2 to get 2.