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Simplifying 2(w + 23) + 2w = 698 Reorder the terms: 2(23 + w) + 2w = 698 (23 * 2 + w * 2) + 2w = 698 (46 + 2w) + 2w = 698 Combine like terms: 2w + 2w = 4w 46 + 4w = 698 Solving 46 + 4w = 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 + 4w = 698 + -46 Combine like terms: 46 + -46 = 0 0 + 4w = 698 + -46 4w = 698 + -46 Combine like terms: 698 + -46 = 652 4w = 652 Divide each side by '4'. w = 163 Simplifying w = 163
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