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Simplifying 46 = 3w + -8 Reorder the terms: 46 = -8 + 3w Solving 46 = -8 + 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 = -8 + 3w + -3w Combine like terms: 3w + -3w = 0 46 + -3w = -8 + 0 46 + -3w = -8 Add '-46' to each side of the equation. 46 + -46 + -3w = -8 + -46 Combine like terms: 46 + -46 = 0 0 + -3w = -8 + -46 -3w = -8 + -46 Combine like terms: -8 + -46 = -54 -3w = -54 Divide each side by '-3'. w = 18 Simplifying w = 18
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