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Simplifying 2w + -1(1 + -1w) = w + 2(w + -1) 2w + (1 * -1 + -1w * -1) = w + 2(w + -1) 2w + (-1 + 1w) = w + 2(w + -1) Reorder the terms: -1 + 2w + 1w = w + 2(w + -1) Combine like terms: 2w + 1w = 3w -1 + 3w = w + 2(w + -1) Reorder the terms: -1 + 3w = w + 2(-1 + w) -1 + 3w = w + (-1 * 2 + w * 2) -1 + 3w = w + (-2 + 2w) Reorder the terms: -1 + 3w = -2 + w + 2w Combine like terms: w + 2w = 3w -1 + 3w = -2 + 3w Add '-3w' to each side of the equation. -1 + 3w + -3w = -2 + 3w + -3w Combine like terms: 3w + -3w = 0 -1 + 0 = -2 + 3w + -3w -1 = -2 + 3w + -3w Combine like terms: 3w + -3w = 0 -1 = -2 + 0 -1 = -2 Solving -1 = -2 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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