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