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Simplifying 220 = 2(2w + 40) + 2 Reorder the terms: 220 = 2(40 + 2w) + 2 220 = (40 * 2 + 2w * 2) + 2 220 = (80 + 4w) + 2 Reorder the terms: 220 = 80 + 2 + 4w Combine like terms: 80 + 2 = 82 220 = 82 + 4w Solving 220 = 82 + 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. 220 + -4w = 82 + 4w + -4w Combine like terms: 4w + -4w = 0 220 + -4w = 82 + 0 220 + -4w = 82 Add '-220' to each side of the equation. 220 + -220 + -4w = 82 + -220 Combine like terms: 220 + -220 = 0 0 + -4w = 82 + -220 -4w = 82 + -220 Combine like terms: 82 + -220 = -138 -4w = -138 Divide each side by '-4'. w = 34.5 Simplifying w = 34.5
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