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Simplifying -4(w + -8) + 9w + 1 = 0 Reorder the terms: -4(-8 + w) + 9w + 1 = 0 (-8 * -4 + w * -4) + 9w + 1 = 0 (32 + -4w) + 9w + 1 = 0 Reorder the terms: 32 + 1 + -4w + 9w = 0 Combine like terms: 32 + 1 = 33 33 + -4w + 9w = 0 Combine like terms: -4w + 9w = 5w 33 + 5w = 0 Solving 33 + 5w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 5w = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 5w = 0 + -33 5w = 0 + -33 Combine like terms: 0 + -33 = -33 5w = -33 Divide each side by '5'. w = -6.6 Simplifying w = -6.6
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