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Simplifying 3w + -2 + 6 + 2w = -2 + w Reorder the terms: -2 + 6 + 3w + 2w = -2 + w Combine like terms: -2 + 6 = 4 4 + 3w + 2w = -2 + w Combine like terms: 3w + 2w = 5w 4 + 5w = -2 + w Solving 4 + 5w = -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. 4 + 5w + -1w = -2 + w + -1w Combine like terms: 5w + -1w = 4w 4 + 4w = -2 + w + -1w Combine like terms: w + -1w = 0 4 + 4w = -2 + 0 4 + 4w = -2 Add '-4' to each side of the equation. 4 + -4 + 4w = -2 + -4 Combine like terms: 4 + -4 = 0 0 + 4w = -2 + -4 4w = -2 + -4 Combine like terms: -2 + -4 = -6 4w = -6 Divide each side by '4'. w = -1.5 Simplifying w = -1.5
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