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Simplifying 5(w + 4) = -2w + -29 Reorder the terms: 5(4 + w) = -2w + -29 (4 * 5 + w * 5) = -2w + -29 (20 + 5w) = -2w + -29 Reorder the terms: 20 + 5w = -29 + -2w Solving 20 + 5w = -29 + -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. 20 + 5w + 2w = -29 + -2w + 2w Combine like terms: 5w + 2w = 7w 20 + 7w = -29 + -2w + 2w Combine like terms: -2w + 2w = 0 20 + 7w = -29 + 0 20 + 7w = -29 Add '-20' to each side of the equation. 20 + -20 + 7w = -29 + -20 Combine like terms: 20 + -20 = 0 0 + 7w = -29 + -20 7w = -29 + -20 Combine like terms: -29 + -20 = -49 7w = -49 Divide each side by '7'. w = -7 Simplifying w = -7
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