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