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Simplifying 2 + 3w + 12 + 2w = w Reorder the terms: 2 + 12 + 3w + 2w = w Combine like terms: 2 + 12 = 14 14 + 3w + 2w = w Combine like terms: 3w + 2w = 5w 14 + 5w = w Solving 14 + 5w = 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 + 5w + -1w = w + -1w Combine like terms: 5w + -1w = 4w 14 + 4w = w + -1w Combine like terms: w + -1w = 0 14 + 4w = 0 Add '-14' to each side of the equation. 14 + -14 + 4w = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 4w = 0 + -14 4w = 0 + -14 Combine like terms: 0 + -14 = -14 4w = -14 Divide each side by '4'. w = -3.5 Simplifying w = -3.5
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