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Simplifying 3w = w + 46 Reorder the terms: 3w = 46 + w Solving 3w = 46 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 3w + -1w = 46 + w + -1w Combine like terms: 3w + -1w = 2w 2w = 46 + w + -1w Combine like terms: w + -1w = 0 2w = 46 + 0 2w = 46 Divide each side by '2'. w = 23 Simplifying w = 23
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