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Simplifying 46 = 5w + -9 Reorder the terms: 46 = -9 + 5w Solving 46 = -9 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 46 + -5w = -9 + 5w + -5w Combine like terms: 5w + -5w = 0 46 + -5w = -9 + 0 46 + -5w = -9 Add '-46' to each side of the equation. 46 + -46 + -5w = -9 + -46 Combine like terms: 46 + -46 = 0 0 + -5w = -9 + -46 -5w = -9 + -46 Combine like terms: -9 + -46 = -55 -5w = -55 Divide each side by '-5'. w = 11 Simplifying w = 11
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