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Simplifying 29 = 3(w + 7) + -5w Reorder the terms: 29 = 3(7 + w) + -5w 29 = (7 * 3 + w * 3) + -5w 29 = (21 + 3w) + -5w Combine like terms: 3w + -5w = -2w 29 = 21 + -2w Solving 29 = 21 + -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 = 21 + -2w + 2w Combine like terms: -2w + 2w = 0 29 + 2w = 21 + 0 29 + 2w = 21 Add '-29' to each side of the equation. 29 + -29 + 2w = 21 + -29 Combine like terms: 29 + -29 = 0 0 + 2w = 21 + -29 2w = 21 + -29 Combine like terms: 21 + -29 = -8 2w = -8 Divide each side by '2'. w = -4 Simplifying w = -4
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