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Simplifying 3w + -1(2w + -1) = w + 1 Reorder the terms: 3w + -1(-1 + 2w) = w + 1 3w + (-1 * -1 + 2w * -1) = w + 1 3w + (1 + -2w) = w + 1 Reorder the terms: 1 + 3w + -2w = w + 1 Combine like terms: 3w + -2w = 1w 1 + 1w = w + 1 Reorder the terms: 1 + 1w = 1 + w Add '-1' to each side of the equation. 1 + -1 + 1w = 1 + -1 + w Combine like terms: 1 + -1 = 0 0 + 1w = 1 + -1 + w 1w = 1 + -1 + w Combine like terms: 1 + -1 = 0 1w = 0 + w 1w = w Solving 1w = 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. 1w + -1w = w + -1w Combine like terms: 1w + -1w = 0 0 = w + -1w Combine like terms: w + -1w = 0 0 = 0 Simplifying 0 = 0 The solution to this equation could not be determined.
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