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Simplifying 9(w + 12) = 6(w + 16) Reorder the terms: 9(12 + w) = 6(w + 16) (12 * 9 + w * 9) = 6(w + 16) (108 + 9w) = 6(w + 16) Reorder the terms: 108 + 9w = 6(16 + w) 108 + 9w = (16 * 6 + w * 6) 108 + 9w = (96 + 6w) Solving 108 + 9w = 96 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 108 + 9w + -6w = 96 + 6w + -6w Combine like terms: 9w + -6w = 3w 108 + 3w = 96 + 6w + -6w Combine like terms: 6w + -6w = 0 108 + 3w = 96 + 0 108 + 3w = 96 Add '-108' to each side of the equation. 108 + -108 + 3w = 96 + -108 Combine like terms: 108 + -108 = 0 0 + 3w = 96 + -108 3w = 96 + -108 Combine like terms: 96 + -108 = -12 3w = -12 Divide each side by '3'. w = -4 Simplifying w = -4
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