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Simplifying 4(w + 6) + 5w = -39 Reorder the terms: 4(6 + w) + 5w = -39 (6 * 4 + w * 4) + 5w = -39 (24 + 4w) + 5w = -39 Combine like terms: 4w + 5w = 9w 24 + 9w = -39 Solving 24 + 9w = -39 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 9w = -39 + -24 Combine like terms: 24 + -24 = 0 0 + 9w = -39 + -24 9w = -39 + -24 Combine like terms: -39 + -24 = -63 9w = -63 Divide each side by '9'. w = -7 Simplifying w = -7
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