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Simplifying 698 = 2(w + 23) + 23 Reorder the terms: 698 = 2(23 + w) + 23 698 = (23 * 2 + w * 2) + 23 698 = (46 + 2w) + 23 Reorder the terms: 698 = 46 + 23 + 2w Combine like terms: 46 + 23 = 69 698 = 69 + 2w Solving 698 = 69 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 698 + -2w = 69 + 2w + -2w Combine like terms: 2w + -2w = 0 698 + -2w = 69 + 0 698 + -2w = 69 Add '-698' to each side of the equation. 698 + -698 + -2w = 69 + -698 Combine like terms: 698 + -698 = 0 0 + -2w = 69 + -698 -2w = 69 + -698 Combine like terms: 69 + -698 = -629 -2w = -629 Divide each side by '-2'. w = 314.5 Simplifying w = 314.5
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