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9\times 5=m\times 15
Variable m cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 9m, the least common multiple of m,9.
45=m\times 15
Multiply 9 and 5 to get 45.
m\times 15=45
Swap sides so that all variable terms are on the left hand side.
m=\frac{45}{15}
Divide both sides by 15.
m=3
Divide 45 by 15 to get 3.