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