Solve for w
w = \frac{60}{17} = 3\frac{9}{17} \approx 3.529411765
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12w+6w-4w+3w=60
Multiply both sides of the equation by 12, the least common multiple of 2,3,4.
18w-4w+3w=60
Combine 12w and 6w to get 18w.
14w+3w=60
Combine 18w and -4w to get 14w.
17w=60
Combine 14w and 3w to get 17w.
w=\frac{60}{17}
Divide both sides by 17.
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