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Simplifying 46 = 5w + 11 Reorder the terms: 46 = 11 + 5w Solving 46 = 11 + 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 = 11 + 5w + -5w Combine like terms: 5w + -5w = 0 46 + -5w = 11 + 0 46 + -5w = 11 Add '-46' to each side of the equation. 46 + -46 + -5w = 11 + -46 Combine like terms: 46 + -46 = 0 0 + -5w = 11 + -46 -5w = 11 + -46 Combine like terms: 11 + -46 = -35 -5w = -35 Divide each side by '-5'. w = 7 Simplifying w = 7
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