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Simplifying 46 = 3w + 13 Reorder the terms: 46 = 13 + 3w Solving 46 = 13 + 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 = 13 + 3w + -3w Combine like terms: 3w + -3w = 0 46 + -3w = 13 + 0 46 + -3w = 13 Add '-46' to each side of the equation. 46 + -46 + -3w = 13 + -46 Combine like terms: 46 + -46 = 0 0 + -3w = 13 + -46 -3w = 13 + -46 Combine like terms: 13 + -46 = -33 -3w = -33 Divide each side by '-3'. w = 11 Simplifying w = 11
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