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Simplifying -5(w + -8) + 9w + 1 = 0 Reorder the terms: -5(-8 + w) + 9w + 1 = 0 (-8 * -5 + w * -5) + 9w + 1 = 0 (40 + -5w) + 9w + 1 = 0 Reorder the terms: 40 + 1 + -5w + 9w = 0 Combine like terms: 40 + 1 = 41 41 + -5w + 9w = 0 Combine like terms: -5w + 9w = 4w 41 + 4w = 0 Solving 41 + 4w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + 4w = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 4w = 0 + -41 4w = 0 + -41 Combine like terms: 0 + -41 = -41 4w = -41 Divide each side by '4'. w = -10.25 Simplifying w = -10.25
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