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Simplifying 24 = 3(w + 3) + -5w Reorder the terms: 24 = 3(3 + w) + -5w 24 = (3 * 3 + w * 3) + -5w 24 = (9 + 3w) + -5w Combine like terms: 3w + -5w = -2w 24 = 9 + -2w Solving 24 = 9 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 24 + 2w = 9 + -2w + 2w Combine like terms: -2w + 2w = 0 24 + 2w = 9 + 0 24 + 2w = 9 Add '-24' to each side of the equation. 24 + -24 + 2w = 9 + -24 Combine like terms: 24 + -24 = 0 0 + 2w = 9 + -24 2w = 9 + -24 Combine like terms: 9 + -24 = -15 2w = -15 Divide each side by '2'. w = -7.5 Simplifying w = -7.5
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