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Simplifying (C + -1) + -1(1 + -1c) = 2c + -2 Reorder the terms: (-1 + C) + -1(1 + -1c) = 2c + -2 Remove parenthesis around (-1 + C) -1 + C + -1(1 + -1c) = 2c + -2 -1 + C + (1 * -1 + -1c * -1) = 2c + -2 -1 + C + (-1 + 1c) = 2c + -2 Reorder the terms: -1 + -1 + C + 1c = 2c + -2 Combine like terms: -1 + -1 = -2 -2 + C + 1c = 2c + -2 Reorder the terms: -2 + C + 1c = -2 + 2c Add '2' to each side of the equation. -2 + C + 2 + 1c = -2 + 2 + 2c Reorder the terms: -2 + 2 + C + 1c = -2 + 2 + 2c Combine like terms: -2 + 2 = 0 0 + C + 1c = -2 + 2 + 2c C + 1c = -2 + 2 + 2c Combine like terms: -2 + 2 = 0 C + 1c = 0 + 2c C + 1c = 2c Solving C + 1c = 2c Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '-1c' to each side of the equation. C + 1c + -1c = 2c + -1c Combine like terms: 1c + -1c = 0 C + 0 = 2c + -1c C = 2c + -1c Combine like terms: 2c + -1c = 1c C = 1c Simplifying C = 1c
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