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Simplifying 5(w + 3) = 3w + 29 Reorder the terms: 5(3 + w) = 3w + 29 (3 * 5 + w * 5) = 3w + 29 (15 + 5w) = 3w + 29 Reorder the terms: 15 + 5w = 29 + 3w Solving 15 + 5w = 29 + 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 + 5w + -3w = 29 + 3w + -3w Combine like terms: 5w + -3w = 2w 15 + 2w = 29 + 3w + -3w Combine like terms: 3w + -3w = 0 15 + 2w = 29 + 0 15 + 2w = 29 Add '-15' to each side of the equation. 15 + -15 + 2w = 29 + -15 Combine like terms: 15 + -15 = 0 0 + 2w = 29 + -15 2w = 29 + -15 Combine like terms: 29 + -15 = 14 2w = 14 Divide each side by '2'. w = 7 Simplifying w = 7
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