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Simplifying 29 = -8w + 5(w + 4) Reorder the terms: 29 = -8w + 5(4 + w) 29 = -8w + (4 * 5 + w * 5) 29 = -8w + (20 + 5w) Reorder the terms: 29 = 20 + -8w + 5w Combine like terms: -8w + 5w = -3w 29 = 20 + -3w Solving 29 = 20 + -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. 29 + 3w = 20 + -3w + 3w Combine like terms: -3w + 3w = 0 29 + 3w = 20 + 0 29 + 3w = 20 Add '-29' to each side of the equation. 29 + -29 + 3w = 20 + -29 Combine like terms: 29 + -29 = 0 0 + 3w = 20 + -29 3w = 20 + -29 Combine like terms: 20 + -29 = -9 3w = -9 Divide each side by '3'. w = -3 Simplifying w = -3
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