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Simplifying 4w + 5(w + 2) = -17 Reorder the terms: 4w + 5(2 + w) = -17 4w + (2 * 5 + w * 5) = -17 4w + (10 + 5w) = -17 Reorder the terms: 10 + 4w + 5w = -17 Combine like terms: 4w + 5w = 9w 10 + 9w = -17 Solving 10 + 9w = -17 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 9w = -17 + -10 Combine like terms: 10 + -10 = 0 0 + 9w = -17 + -10 9w = -17 + -10 Combine like terms: -17 + -10 = -27 9w = -27 Divide each side by '9'. w = -3 Simplifying w = -3
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