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Simplifying 3w + -1w = w + 8 Combine like terms: 3w + -1w = 2w 2w = w + 8 Reorder the terms: 2w = 8 + w Solving 2w = 8 + 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. 2w + -1w = 8 + w + -1w Combine like terms: 2w + -1w = 1w 1w = 8 + w + -1w Combine like terms: w + -1w = 0 1w = 8 + 0 1w = 8 Divide each side by '1'. w = 8 Simplifying w = 8
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