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2k+12=60-k
Multiply both sides of the equation by 4, the least common multiple of 2,4.
2k+12+k=60
Add k to both sides.
3k+12=60
Combine 2k and k to get 3k.
3k=60-12
Subtract 12 from both sides.
3k=48
Subtract 12 from 60 to get 48.
k=\frac{48}{3}
Divide both sides by 3.
k=16
Divide 48 by 3 to get 16.