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Simplifying 15w = 3(4w + 17) Reorder the terms: 15w = 3(17 + 4w) 15w = (17 * 3 + 4w * 3) 15w = (51 + 12w) Solving 15w = 51 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. 15w + -12w = 51 + 12w + -12w Combine like terms: 15w + -12w = 3w 3w = 51 + 12w + -12w Combine like terms: 12w + -12w = 0 3w = 51 + 0 3w = 51 Divide each side by '3'. w = 17 Simplifying w = 17
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