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Simplifying -5(w + -9) + 8w + 1 = 0 Reorder the terms: -5(-9 + w) + 8w + 1 = 0 (-9 * -5 + w * -5) + 8w + 1 = 0 (45 + -5w) + 8w + 1 = 0 Reorder the terms: 45 + 1 + -5w + 8w = 0 Combine like terms: 45 + 1 = 46 46 + -5w + 8w = 0 Combine like terms: -5w + 8w = 3w 46 + 3w = 0 Solving 46 + 3w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 3w = 0 + -46 Combine like terms: 46 + -46 = 0 0 + 3w = 0 + -46 3w = 0 + -46 Combine like terms: 0 + -46 = -46 3w = -46 Divide each side by '3'. w = -15.33333333 Simplifying w = -15.33333333
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