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Simplifying 2(w + 2) + 2(w + 2) = 108 Reorder the terms: 2(2 + w) + 2(w + 2) = 108 (2 * 2 + w * 2) + 2(w + 2) = 108 (4 + 2w) + 2(w + 2) = 108 Reorder the terms: 4 + 2w + 2(2 + w) = 108 4 + 2w + (2 * 2 + w * 2) = 108 4 + 2w + (4 + 2w) = 108 Reorder the terms: 4 + 4 + 2w + 2w = 108 Combine like terms: 4 + 4 = 8 8 + 2w + 2w = 108 Combine like terms: 2w + 2w = 4w 8 + 4w = 108 Solving 8 + 4w = 108 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 4w = 108 + -8 Combine like terms: 8 + -8 = 0 0 + 4w = 108 + -8 4w = 108 + -8 Combine like terms: 108 + -8 = 100 4w = 100 Divide each side by '4'. w = 25 Simplifying w = 25
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