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6\times 8=n\times 15
Variable n cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 6n, the least common multiple of n,6.
48=n\times 15
Multiply 6 and 8 to get 48.
n\times 15=48
Swap sides so that all variable terms are on the left hand side.
n=\frac{48}{15}
Divide both sides by 15.
n=\frac{16}{5}
Reduce the fraction \frac{48}{15} to lowest terms by extracting and canceling out 3.