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Simplifying w + 12 + 2w + 2 = w + 50 Reorder the terms: 12 + 2 + w + 2w = w + 50 Combine like terms: 12 + 2 = 14 14 + w + 2w = w + 50 Combine like terms: w + 2w = 3w 14 + 3w = w + 50 Reorder the terms: 14 + 3w = 50 + w Solving 14 + 3w = 50 + 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 + 3w + -1w = 50 + w + -1w Combine like terms: 3w + -1w = 2w 14 + 2w = 50 + w + -1w Combine like terms: w + -1w = 0 14 + 2w = 50 + 0 14 + 2w = 50 Add '-14' to each side of the equation. 14 + -14 + 2w = 50 + -14 Combine like terms: 14 + -14 = 0 0 + 2w = 50 + -14 2w = 50 + -14 Combine like terms: 50 + -14 = 36 2w = 36 Divide each side by '2'. w = 18 Simplifying w = 18
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