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Simplifying 698 = 2(w + 23) + 2w Reorder the terms: 698 = 2(23 + w) + 2w 698 = (23 * 2 + w * 2) + 2w 698 = (46 + 2w) + 2w Combine like terms: 2w + 2w = 4w 698 = 46 + 4w Solving 698 = 46 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 698 + -4w = 46 + 4w + -4w Combine like terms: 4w + -4w = 0 698 + -4w = 46 + 0 698 + -4w = 46 Add '-698' to each side of the equation. 698 + -698 + -4w = 46 + -698 Combine like terms: 698 + -698 = 0 0 + -4w = 46 + -698 -4w = 46 + -698 Combine like terms: 46 + -698 = -652 -4w = -652 Divide each side by '-4'. w = 163 Simplifying w = 163
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