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Simplifying 5(w + 2) + 2w = -32 Reorder the terms: 5(2 + w) + 2w = -32 (2 * 5 + w * 5) + 2w = -32 (10 + 5w) + 2w = -32 Combine like terms: 5w + 2w = 7w 10 + 7w = -32 Solving 10 + 7w = -32 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 + 7w = -32 + -10 Combine like terms: 10 + -10 = 0 0 + 7w = -32 + -10 7w = -32 + -10 Combine like terms: -32 + -10 = -42 7w = -42 Divide each side by '7'. w = -6 Simplifying w = -6
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