Solve for k
k=2
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20\left(2k-7\right)=-3\left(9k+2\right)
Variable k cannot be equal to -\frac{2}{9} since division by zero is not defined. Multiply both sides of the equation by 20\left(9k+2\right), the least common multiple of 9k+2,20.
40k-140=-3\left(9k+2\right)
Use the distributive property to multiply 20 by 2k-7.
40k-140=-27k-6
Use the distributive property to multiply -3 by 9k+2.
40k-140+27k=-6
Add 27k to both sides.
67k-140=-6
Combine 40k and 27k to get 67k.
67k=-6+140
Add 140 to both sides.
67k=134
Add -6 and 140 to get 134.
k=\frac{134}{67}
Divide both sides by 67.
k=2
Divide 134 by 67 to get 2.
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