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Simplifying 2(w + 23) + w = 698 Reorder the terms: 2(23 + w) + w = 698 (23 * 2 + w * 2) + w = 698 (46 + 2w) + w = 698 Combine like terms: 2w + w = 3w 46 + 3w = 698 Solving 46 + 3w = 698 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 3w = 698 + -46 Combine like terms: 46 + -46 = 0 0 + 3w = 698 + -46 3w = 698 + -46 Combine like terms: 698 + -46 = 652 3w = 652 Divide each side by '3'. w = 217.3333333 Simplifying w = 217.3333333
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