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Simplifying 9(w + 2) = -5w + 46 Reorder the terms: 9(2 + w) = -5w + 46 (2 * 9 + w * 9) = -5w + 46 (18 + 9w) = -5w + 46 Reorder the terms: 18 + 9w = 46 + -5w Solving 18 + 9w = 46 + -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. 18 + 9w + 5w = 46 + -5w + 5w Combine like terms: 9w + 5w = 14w 18 + 14w = 46 + -5w + 5w Combine like terms: -5w + 5w = 0 18 + 14w = 46 + 0 18 + 14w = 46 Add '-18' to each side of the equation. 18 + -18 + 14w = 46 + -18 Combine like terms: 18 + -18 = 0 0 + 14w = 46 + -18 14w = 46 + -18 Combine like terms: 46 + -18 = 28 14w = 28 Divide each side by '14'. w = 2 Simplifying w = 2
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