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Simplifying 2w + 2(w + 9) = 270 Reorder the terms: 2w + 2(9 + w) = 270 2w + (9 * 2 + w * 2) = 270 2w + (18 + 2w) = 270 Reorder the terms: 18 + 2w + 2w = 270 Combine like terms: 2w + 2w = 4w 18 + 4w = 270 Solving 18 + 4w = 270 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 = 270 + -18 Combine like terms: 18 + -18 = 0 0 + 4w = 270 + -18 4w = 270 + -18 Combine like terms: 270 + -18 = 252 4w = 252 Divide each side by '4'. w = 63 Simplifying w = 63
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