Solve for k
k = -\frac{57}{11} = -5\frac{2}{11} \approx -5.181818182
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9\left(3k+5\right)=4\left(4k-3\right)
Variable k cannot be equal to \frac{3}{4} since division by zero is not defined. Multiply both sides of the equation by 9\left(4k-3\right), the least common multiple of 4k-3,9.
27k+45=4\left(4k-3\right)
Use the distributive property to multiply 9 by 3k+5.
27k+45=16k-12
Use the distributive property to multiply 4 by 4k-3.
27k+45-16k=-12
Subtract 16k from both sides.
11k+45=-12
Combine 27k and -16k to get 11k.
11k=-12-45
Subtract 45 from both sides.
11k=-57
Subtract 45 from -12 to get -57.
k=\frac{-57}{11}
Divide both sides by 11.
k=-\frac{57}{11}
Fraction \frac{-57}{11} can be rewritten as -\frac{57}{11} by extracting the negative sign.
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