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