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Simplifying 2w + 2(w + 9) = 52 Reorder the terms: 2w + 2(9 + w) = 52 2w + (9 * 2 + w * 2) = 52 2w + (18 + 2w) = 52 Reorder the terms: 18 + 2w + 2w = 52 Combine like terms: 2w + 2w = 4w 18 + 4w = 52 Solving 18 + 4w = 52 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 4w = 52 + -18 Combine like terms: 18 + -18 = 0 0 + 4w = 52 + -18 4w = 52 + -18 Combine like terms: 52 + -18 = 34 4w = 34 Divide each side by '4'. w = 8.5 Simplifying w = 8.5
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