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Simplifying -4(w + -8) + 9w + 2 = 0 Reorder the terms: -4(-8 + w) + 9w + 2 = 0 (-8 * -4 + w * -4) + 9w + 2 = 0 (32 + -4w) + 9w + 2 = 0 Reorder the terms: 32 + 2 + -4w + 9w = 0 Combine like terms: 32 + 2 = 34 34 + -4w + 9w = 0 Combine like terms: -4w + 9w = 5w 34 + 5w = 0 Solving 34 + 5w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 5w = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 5w = 0 + -34 5w = 0 + -34 Combine like terms: 0 + -34 = -34 5w = -34 Divide each side by '5'. w = -6.8 Simplifying w = -6.8
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