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Simplifying 9(w + 3) = -5w + -29 Reorder the terms: 9(3 + w) = -5w + -29 (3 * 9 + w * 9) = -5w + -29 (27 + 9w) = -5w + -29 Reorder the terms: 27 + 9w = -29 + -5w Solving 27 + 9w = -29 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 27 + 9w + 5w = -29 + -5w + 5w Combine like terms: 9w + 5w = 14w 27 + 14w = -29 + -5w + 5w Combine like terms: -5w + 5w = 0 27 + 14w = -29 + 0 27 + 14w = -29 Add '-27' to each side of the equation. 27 + -27 + 14w = -29 + -27 Combine like terms: 27 + -27 = 0 0 + 14w = -29 + -27 14w = -29 + -27 Combine like terms: -29 + -27 = -56 14w = -56 Divide each side by '14'. w = -4 Simplifying w = -4
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