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Simplifying 2w + 2(w + 2) = 42 Reorder the terms: 2w + 2(2 + w) = 42 2w + (2 * 2 + w * 2) = 42 2w + (4 + 2w) = 42 Reorder the terms: 4 + 2w + 2w = 42 Combine like terms: 2w + 2w = 4w 4 + 4w = 42 Solving 4 + 4w = 42 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 = 42 + -4 Combine like terms: 4 + -4 = 0 0 + 4w = 42 + -4 4w = 42 + -4 Combine like terms: 42 + -4 = 38 4w = 38 Divide each side by '4'. w = 9.5 Simplifying w = 9.5
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