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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 = 8w 380 = 20 + 8w Solving 380 = 20 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 380 + -8w = 20 + 8w + -8w Combine like terms: 8w + -8w = 0 380 + -8w = 20 + 0 380 + -8w = 20 Add '-380' to each side of the equation. 380 + -380 + -8w = 20 + -380 Combine like terms: 380 + -380 = 0 0 + -8w = 20 + -380 -8w = 20 + -380 Combine like terms: 20 + -380 = -360 -8w = -360 Divide each side by '-8'. w = 45 Simplifying w = 45
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