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Simplifying -5(w + -8) + 9w + 3 = 0 Reorder the terms: -5(-8 + w) + 9w + 3 = 0 (-8 * -5 + w * -5) + 9w + 3 = 0 (40 + -5w) + 9w + 3 = 0 Reorder the terms: 40 + 3 + -5w + 9w = 0 Combine like terms: 40 + 3 = 43 43 + -5w + 9w = 0 Combine like terms: -5w + 9w = 4w 43 + 4w = 0 Solving 43 + 4w = 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 + 4w = 0 + -43 Combine like terms: 43 + -43 = 0 0 + 4w = 0 + -43 4w = 0 + -43 Combine like terms: 0 + -43 = -43 4w = -43 Divide each side by '4'. w = -10.75 Simplifying w = -10.75
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