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Simplifying 2w + 8 = w + 2 Reorder the terms: 8 + 2w = w + 2 Reorder the terms: 8 + 2w = 2 + w Solving 8 + 2w = 2 + 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. 8 + 2w + -1w = 2 + w + -1w Combine like terms: 2w + -1w = 1w 8 + 1w = 2 + w + -1w Combine like terms: w + -1w = 0 8 + 1w = 2 + 0 8 + 1w = 2 Add '-8' to each side of the equation. 8 + -8 + 1w = 2 + -8 Combine like terms: 8 + -8 = 0 0 + 1w = 2 + -8 1w = 2 + -8 Combine like terms: 2 + -8 = -6 1w = -6 Divide each side by '1'. w = -6 Simplifying w = -6
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