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72\times \frac{1}{8}=n\times 3
Variable n cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 72n, the least common multiple of n,72.
\frac{72}{8}=n\times 3
Multiply 72 and \frac{1}{8} to get \frac{72}{8}.
9=n\times 3
Divide 72 by 8 to get 9.
n\times 3=9
Swap sides so that all variable terms are on the left hand side.
n=\frac{9}{3}
Divide both sides by 3.
n=3
Divide 9 by 3 to get 3.