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Simplifying 3w + 2 + w = 2w + 12 Reorder the terms: 2 + 3w + w = 2w + 12 Combine like terms: 3w + w = 4w 2 + 4w = 2w + 12 Reorder the terms: 2 + 4w = 12 + 2w Solving 2 + 4w = 12 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 2 + 4w + -2w = 12 + 2w + -2w Combine like terms: 4w + -2w = 2w 2 + 2w = 12 + 2w + -2w Combine like terms: 2w + -2w = 0 2 + 2w = 12 + 0 2 + 2w = 12 Add '-2' to each side of the equation. 2 + -2 + 2w = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 2w = 12 + -2 2w = 12 + -2 Combine like terms: 12 + -2 = 10 2w = 10 Divide each side by '2'. w = 5 Simplifying w = 5
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