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Simplifying 5(w + 3) + 9 = 3(w + -2) + 6 Reorder the terms: 5(3 + w) + 9 = 3(w + -2) + 6 (3 * 5 + w * 5) + 9 = 3(w + -2) + 6 (15 + 5w) + 9 = 3(w + -2) + 6 Reorder the terms: 15 + 9 + 5w = 3(w + -2) + 6 Combine like terms: 15 + 9 = 24 24 + 5w = 3(w + -2) + 6 Reorder the terms: 24 + 5w = 3(-2 + w) + 6 24 + 5w = (-2 * 3 + w * 3) + 6 24 + 5w = (-6 + 3w) + 6 Reorder the terms: 24 + 5w = -6 + 6 + 3w Combine like terms: -6 + 6 = 0 24 + 5w = 0 + 3w 24 + 5w = 3w Solving 24 + 5w = 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. 24 + 5w + -3w = 3w + -3w Combine like terms: 5w + -3w = 2w 24 + 2w = 3w + -3w Combine like terms: 3w + -3w = 0 24 + 2w = 0 Add '-24' to each side of the equation. 24 + -24 + 2w = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 2w = 0 + -24 2w = 0 + -24 Combine like terms: 0 + -24 = -24 2w = -24 Divide each side by '2'. w = -12 Simplifying w = -12
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