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Simplifying w + 14 + w = w + 46 Reorder the terms: 14 + w + w = w + 46 Combine like terms: w + w = 2w 14 + 2w = w + 46 Reorder the terms: 14 + 2w = 46 + w Solving 14 + 2w = 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. 14 + 2w + -1w = 46 + w + -1w Combine like terms: 2w + -1w = 1w 14 + 1w = 46 + w + -1w Combine like terms: w + -1w = 0 14 + 1w = 46 + 0 14 + 1w = 46 Add '-14' to each side of the equation. 14 + -14 + 1w = 46 + -14 Combine like terms: 14 + -14 = 0 0 + 1w = 46 + -14 1w = 46 + -14 Combine like terms: 46 + -14 = 32 1w = 32 Divide each side by '1'. w = 32 Simplifying w = 32
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