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7\times 8=10n
Variable n cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 7n, the least common multiple of n,7.
56=10n
Multiply 7 and 8 to get 56.
10n=56
Swap sides so that all variable terms are on the left hand side.
n=\frac{56}{10}
Divide both sides by 10.
n=\frac{28}{5}
Reduce the fraction \frac{56}{10} to lowest terms by extracting and canceling out 2.