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