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Simplifying 46 = 2(w + 5) + w Reorder the terms: 46 = 2(5 + w) + w 46 = (5 * 2 + w * 2) + w 46 = (10 + 2w) + w Combine like terms: 2w + w = 3w 46 = 10 + 3w Solving 46 = 10 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 46 + -3w = 10 + 3w + -3w Combine like terms: 3w + -3w = 0 46 + -3w = 10 + 0 46 + -3w = 10 Add '-46' to each side of the equation. 46 + -46 + -3w = 10 + -46 Combine like terms: 46 + -46 = 0 0 + -3w = 10 + -46 -3w = 10 + -46 Combine like terms: 10 + -46 = -36 -3w = -36 Divide each side by '-3'. w = 12 Simplifying w = 12
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