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Simplifying 46 = 29 + -2(3 + -1w) 46 = 29 + (3 * -2 + -1w * -2) 46 = 29 + (-6 + 2w) Combine like terms: 29 + -6 = 23 46 = 23 + 2w Solving 46 = 23 + 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 = 23 + 2w + -2w Combine like terms: 2w + -2w = 0 46 + -2w = 23 + 0 46 + -2w = 23 Add '-46' to each side of the equation. 46 + -46 + -2w = 23 + -46 Combine like terms: 46 + -46 = 0 0 + -2w = 23 + -46 -2w = 23 + -46 Combine like terms: 23 + -46 = -23 -2w = -23 Divide each side by '-2'. w = 11.5 Simplifying w = 11.5
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