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Simplifying 2w + 2(w + 2) = 36 Reorder the terms: 2w + 2(2 + w) = 36 2w + (2 * 2 + w * 2) = 36 2w + (4 + 2w) = 36 Reorder the terms: 4 + 2w + 2w = 36 Combine like terms: 2w + 2w = 4w 4 + 4w = 36 Solving 4 + 4w = 36 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 4w = 36 + -4 Combine like terms: 4 + -4 = 0 0 + 4w = 36 + -4 4w = 36 + -4 Combine like terms: 36 + -4 = 32 4w = 32 Divide each side by '4'. w = 8 Simplifying w = 8
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