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Simplifying -4(w + -5) + 9w + 2 = 0 Reorder the terms: -4(-5 + w) + 9w + 2 = 0 (-5 * -4 + w * -4) + 9w + 2 = 0 (20 + -4w) + 9w + 2 = 0 Reorder the terms: 20 + 2 + -4w + 9w = 0 Combine like terms: 20 + 2 = 22 22 + -4w + 9w = 0 Combine like terms: -4w + 9w = 5w 22 + 5w = 0 Solving 22 + 5w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 5w = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 5w = 0 + -22 5w = 0 + -22 Combine like terms: 0 + -22 = -22 5w = -22 Divide each side by '5'. w = -4.4 Simplifying w = -4.4
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