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