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Simplifying 9(w + 9) = -5w + 25 Reorder the terms: 9(9 + w) = -5w + 25 (9 * 9 + w * 9) = -5w + 25 (81 + 9w) = -5w + 25 Reorder the terms: 81 + 9w = 25 + -5w Solving 81 + 9w = 25 + -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. 81 + 9w + 5w = 25 + -5w + 5w Combine like terms: 9w + 5w = 14w 81 + 14w = 25 + -5w + 5w Combine like terms: -5w + 5w = 0 81 + 14w = 25 + 0 81 + 14w = 25 Add '-81' to each side of the equation. 81 + -81 + 14w = 25 + -81 Combine like terms: 81 + -81 = 0 0 + 14w = 25 + -81 14w = 25 + -81 Combine like terms: 25 + -81 = -56 14w = -56 Divide each side by '14'. w = -4 Simplifying w = -4
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