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Simplifying 2w + 2(w + 1) = 50 Reorder the terms: 2w + 2(1 + w) = 50 2w + (1 * 2 + w * 2) = 50 2w + (2 + 2w) = 50 Reorder the terms: 2 + 2w + 2w = 50 Combine like terms: 2w + 2w = 4w 2 + 4w = 50 Solving 2 + 4w = 50 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 4w = 50 + -2 Combine like terms: 2 + -2 = 0 0 + 4w = 50 + -2 4w = 50 + -2 Combine like terms: 50 + -2 = 48 4w = 48 Divide each side by '4'. w = 12 Simplifying w = 12
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