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Simplifying 46 = 3w + -11 Reorder the terms: 46 = -11 + 3w Solving 46 = -11 + 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 = -11 + 3w + -3w Combine like terms: 3w + -3w = 0 46 + -3w = -11 + 0 46 + -3w = -11 Add '-46' to each side of the equation. 46 + -46 + -3w = -11 + -46 Combine like terms: 46 + -46 = 0 0 + -3w = -11 + -46 -3w = -11 + -46 Combine like terms: -11 + -46 = -57 -3w = -57 Divide each side by '-3'. w = 19 Simplifying w = 19
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