Solve for k
k=48
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2k=3\left(80-k\right)
Multiply both sides of the equation by 240, the least common multiple of 120,80.
2k=240-3k
Use the distributive property to multiply 3 by 80-k.
2k+3k=240
Add 3k to both sides.
5k=240
Combine 2k and 3k to get 5k.
k=\frac{240}{5}
Divide both sides by 5.
k=48
Divide 240 by 5 to get 48.
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