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5k=2\left(-3\right)
Variable k cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2k, the least common multiple of 2,k.
5k=-6
Multiply 2 and -3 to get -6.
k=\frac{-6}{5}
Divide both sides by 5.
k=-\frac{6}{5}
Fraction \frac{-6}{5} can be rewritten as -\frac{6}{5} by extracting the negative sign.