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Simplifying (5w + 10) * 2 + (2w) = 380 Reorder the terms: (10 + 5w) * 2 + (2w) = 380 Reorder the terms for easier multiplication: 2(10 + 5w) + (2w) = 380 (10 * 2 + 5w * 2) + (2w) = 380 (20 + 10w) + (2w) = 380 Combine like terms: 10w + (2w) = 12w 20 + 12w = 380 Solving 20 + 12w = 380 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 12w = 380 + -20 Combine like terms: 20 + -20 = 0 0 + 12w = 380 + -20 12w = 380 + -20 Combine like terms: 380 + -20 = 360 12w = 360 Divide each side by '12'. w = 30 Simplifying w = 30
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