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Simplifying 5w + 8 = w + 12 + 2w Reorder the terms: 8 + 5w = w + 12 + 2w Reorder the terms: 8 + 5w = 12 + w + 2w Combine like terms: w + 2w = 3w 8 + 5w = 12 + 3w Solving 8 + 5w = 12 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 8 + 5w + -3w = 12 + 3w + -3w Combine like terms: 5w + -3w = 2w 8 + 2w = 12 + 3w + -3w Combine like terms: 3w + -3w = 0 8 + 2w = 12 + 0 8 + 2w = 12 Add '-8' to each side of the equation. 8 + -8 + 2w = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 2w = 12 + -8 2w = 12 + -8 Combine like terms: 12 + -8 = 4 2w = 4 Divide each side by '2'. w = 2 Simplifying w = 2
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