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Simplifying 2w + -8 + 2w = -2 + w Reorder the terms: -8 + 2w + 2w = -2 + w Combine like terms: 2w + 2w = 4w -8 + 4w = -2 + w Solving -8 + 4w = -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 + 4w + -1w = -2 + w + -1w Combine like terms: 4w + -1w = 3w -8 + 3w = -2 + w + -1w Combine like terms: w + -1w = 0 -8 + 3w = -2 + 0 -8 + 3w = -2 Add '8' to each side of the equation. -8 + 8 + 3w = -2 + 8 Combine like terms: -8 + 8 = 0 0 + 3w = -2 + 8 3w = -2 + 8 Combine like terms: -2 + 8 = 6 3w = 6 Divide each side by '3'. w = 2 Simplifying w = 2
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