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Simplifying 9(w + 5) = -9w + -45 Reorder the terms: 9(5 + w) = -9w + -45 (5 * 9 + w * 9) = -9w + -45 (45 + 9w) = -9w + -45 Reorder the terms: 45 + 9w = -45 + -9w Solving 45 + 9w = -45 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. 45 + 9w + 9w = -45 + -9w + 9w Combine like terms: 9w + 9w = 18w 45 + 18w = -45 + -9w + 9w Combine like terms: -9w + 9w = 0 45 + 18w = -45 + 0 45 + 18w = -45 Add '-45' to each side of the equation. 45 + -45 + 18w = -45 + -45 Combine like terms: 45 + -45 = 0 0 + 18w = -45 + -45 18w = -45 + -45 Combine like terms: -45 + -45 = -90 18w = -90 Divide each side by '18'. w = -5 Simplifying w = -5
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