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9\times 6=4k
Variable k cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 9k, the least common multiple of k,9.
54=4k
Multiply 9 and 6 to get 54.
4k=54
Swap sides so that all variable terms are on the left hand side.
k=\frac{54}{4}
Divide both sides by 4.
k=\frac{27}{2}
Reduce the fraction \frac{54}{4} to lowest terms by extracting and canceling out 2.