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Simplifying 5(w + 3) + -3(w + 1) = 24 Reorder the terms: 5(3 + w) + -3(w + 1) = 24 (3 * 5 + w * 5) + -3(w + 1) = 24 (15 + 5w) + -3(w + 1) = 24 Reorder the terms: 15 + 5w + -3(1 + w) = 24 15 + 5w + (1 * -3 + w * -3) = 24 15 + 5w + (-3 + -3w) = 24 Reorder the terms: 15 + -3 + 5w + -3w = 24 Combine like terms: 15 + -3 = 12 12 + 5w + -3w = 24 Combine like terms: 5w + -3w = 2w 12 + 2w = 24 Solving 12 + 2w = 24 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 2w = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 2w = 24 + -12 2w = 24 + -12 Combine like terms: 24 + -12 = 12 2w = 12 Divide each side by '2'. w = 6 Simplifying w = 6
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