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Simplifying 9(w + 5) + -1(4w + 2) = 0 Reorder the terms: 9(5 + w) + -1(4w + 2) = 0 (5 * 9 + w * 9) + -1(4w + 2) = 0 (45 + 9w) + -1(4w + 2) = 0 Reorder the terms: 45 + 9w + -1(2 + 4w) = 0 45 + 9w + (2 * -1 + 4w * -1) = 0 45 + 9w + (-2 + -4w) = 0 Reorder the terms: 45 + -2 + 9w + -4w = 0 Combine like terms: 45 + -2 = 43 43 + 9w + -4w = 0 Combine like terms: 9w + -4w = 5w 43 + 5w = 0 Solving 43 + 5w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + 5w = 0 + -43 Combine like terms: 43 + -43 = 0 0 + 5w = 0 + -43 5w = 0 + -43 Combine like terms: 0 + -43 = -43 5w = -43 Divide each side by '5'. w = -8.6 Simplifying w = -8.6
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