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