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Simplifying -4(w + -6) + 9w + 3 = 0 Reorder the terms: -4(-6 + w) + 9w + 3 = 0 (-6 * -4 + w * -4) + 9w + 3 = 0 (24 + -4w) + 9w + 3 = 0 Reorder the terms: 24 + 3 + -4w + 9w = 0 Combine like terms: 24 + 3 = 27 27 + -4w + 9w = 0 Combine like terms: -4w + 9w = 5w 27 + 5w = 0 Solving 27 + 5w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 5w = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 5w = 0 + -27 5w = 0 + -27 Combine like terms: 0 + -27 = -27 5w = -27 Divide each side by '5'. w = -5.4 Simplifying w = -5.4
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