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Simplifying 380 = 2(5w + 10) + 2 Reorder the terms: 380 = 2(10 + 5w) + 2 380 = (10 * 2 + 5w * 2) + 2 380 = (20 + 10w) + 2 Reorder the terms: 380 = 20 + 2 + 10w Combine like terms: 20 + 2 = 22 380 = 22 + 10w Solving 380 = 22 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 380 + -10w = 22 + 10w + -10w Combine like terms: 10w + -10w = 0 380 + -10w = 22 + 0 380 + -10w = 22 Add '-380' to each side of the equation. 380 + -380 + -10w = 22 + -380 Combine like terms: 380 + -380 = 0 0 + -10w = 22 + -380 -10w = 22 + -380 Combine like terms: 22 + -380 = -358 -10w = -358 Divide each side by '-10'. w = 35.8 Simplifying w = 35.8
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