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Simplifying 4(11 + -1w) + 9 = -9(w + -2) + -8 (11 * 4 + -1w * 4) + 9 = -9(w + -2) + -8 (44 + -4w) + 9 = -9(w + -2) + -8 Reorder the terms: 44 + 9 + -4w = -9(w + -2) + -8 Combine like terms: 44 + 9 = 53 53 + -4w = -9(w + -2) + -8 Reorder the terms: 53 + -4w = -9(-2 + w) + -8 53 + -4w = (-2 * -9 + w * -9) + -8 53 + -4w = (18 + -9w) + -8 Reorder the terms: 53 + -4w = 18 + -8 + -9w Combine like terms: 18 + -8 = 10 53 + -4w = 10 + -9w Solving 53 + -4w = 10 + -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. 53 + -4w + 9w = 10 + -9w + 9w Combine like terms: -4w + 9w = 5w 53 + 5w = 10 + -9w + 9w Combine like terms: -9w + 9w = 0 53 + 5w = 10 + 0 53 + 5w = 10 Add '-53' to each side of the equation. 53 + -53 + 5w = 10 + -53 Combine like terms: 53 + -53 = 0 0 + 5w = 10 + -53 5w = 10 + -53 Combine like terms: 10 + -53 = -43 5w = -43 Divide each side by '5'. w = -8.6 Simplifying w = -8.6
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