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100\times 24=n\times 30
Variable n cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 100n, the least common multiple of n,100.
2400=n\times 30
Multiply 100 and 24 to get 2400.
n\times 30=2400
Swap sides so that all variable terms are on the left hand side.
n=\frac{2400}{30}
Divide both sides by 30.
n=80
Divide 2400 by 30 to get 80.