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Simplifying 15 = 3(w + 6) + -6w Reorder the terms: 15 = 3(6 + w) + -6w 15 = (6 * 3 + w * 3) + -6w 15 = (18 + 3w) + -6w Combine like terms: 3w + -6w = -3w 15 = 18 + -3w Solving 15 = 18 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 15 + 3w = 18 + -3w + 3w Combine like terms: -3w + 3w = 0 15 + 3w = 18 + 0 15 + 3w = 18 Add '-15' to each side of the equation. 15 + -15 + 3w = 18 + -15 Combine like terms: 15 + -15 = 0 0 + 3w = 18 + -15 3w = 18 + -15 Combine like terms: 18 + -15 = 3 3w = 3 Divide each side by '3'. w = 1 Simplifying w = 1
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