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Simplifying 3w + 5(w + 3) = -17 Reorder the terms: 3w + 5(3 + w) = -17 3w + (3 * 5 + w * 5) = -17 3w + (15 + 5w) = -17 Reorder the terms: 15 + 3w + 5w = -17 Combine like terms: 3w + 5w = 8w 15 + 8w = -17 Solving 15 + 8w = -17 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 8w = -17 + -15 Combine like terms: 15 + -15 = 0 0 + 8w = -17 + -15 8w = -17 + -15 Combine like terms: -17 + -15 = -32 8w = -32 Divide each side by '8'. w = -4 Simplifying w = -4
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