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Simplifying 3w + -6 + 2w = -2w + w Reorder the terms: -6 + 3w + 2w = -2w + w Combine like terms: 3w + 2w = 5w -6 + 5w = -2w + w Combine like terms: -2w + w = -1w -6 + 5w = -1w Solving -6 + 5w = -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. -6 + 5w + w = -1w + w Combine like terms: 5w + w = 6w -6 + 6w = -1w + w Combine like terms: -1w + w = 0 -6 + 6w = 0 Add '6' to each side of the equation. -6 + 6 + 6w = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 6w = 0 + 6 6w = 0 + 6 Combine like terms: 0 + 6 = 6 6w = 6 Divide each side by '6'. w = 1 Simplifying w = 1
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