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Simplifying 380 = 2(w + 20) + 2w Reorder the terms: 380 = 2(20 + w) + 2w 380 = (20 * 2 + w * 2) + 2w 380 = (40 + 2w) + 2w Combine like terms: 2w + 2w = 4w 380 = 40 + 4w Solving 380 = 40 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 380 + -4w = 40 + 4w + -4w Combine like terms: 4w + -4w = 0 380 + -4w = 40 + 0 380 + -4w = 40 Add '-380' to each side of the equation. 380 + -380 + -4w = 40 + -380 Combine like terms: 380 + -380 = 0 0 + -4w = 40 + -380 -4w = 40 + -380 Combine like terms: 40 + -380 = -340 -4w = -340 Divide each side by '-4'. w = 85 Simplifying w = 85
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