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Simplifying 46 = 2(9 + w) 46 = (9 * 2 + w * 2) 46 = (18 + 2w) Solving 46 = 18 + 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. 46 + -2w = 18 + 2w + -2w Combine like terms: 2w + -2w = 0 46 + -2w = 18 + 0 46 + -2w = 18 Add '-46' to each side of the equation. 46 + -46 + -2w = 18 + -46 Combine like terms: 46 + -46 = 0 0 + -2w = 18 + -46 -2w = 18 + -46 Combine like terms: 18 + -46 = -28 -2w = -28 Divide each side by '-2'. w = 14 Simplifying w = 14
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