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Simplifying 380 = 2w + 5(w + 10) Reorder the terms: 380 = 2w + 5(10 + w) 380 = 2w + (10 * 5 + w * 5) 380 = 2w + (50 + 5w) Reorder the terms: 380 = 50 + 2w + 5w Combine like terms: 2w + 5w = 7w 380 = 50 + 7w Solving 380 = 50 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 380 + -7w = 50 + 7w + -7w Combine like terms: 7w + -7w = 0 380 + -7w = 50 + 0 380 + -7w = 50 Add '-380' to each side of the equation. 380 + -380 + -7w = 50 + -380 Combine like terms: 380 + -380 = 0 0 + -7w = 50 + -380 -7w = 50 + -380 Combine like terms: 50 + -380 = -330 -7w = -330 Divide each side by '-7'. w = 47.14285714 Simplifying w = 47.14285714
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