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Simplifying (C + 3) + -2c(1 + -3c) = 2 Reorder the terms: (3 + C) + -2c(1 + -3c) = 2 Remove parenthesis around (3 + C) 3 + C + -2c(1 + -3c) = 2 3 + C + (1 * -2c + -3c * -2c) = 2 3 + C + (-2c + 6c2) = 2 Solving 3 + C + -2c + 6c2 = 2 Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + C + -2c + -3 + 6c2 = 2 + -3 Reorder the terms: 3 + -3 + C + -2c + 6c2 = 2 + -3 Combine like terms: 3 + -3 = 0 0 + C + -2c + 6c2 = 2 + -3 C + -2c + 6c2 = 2 + -3 Combine like terms: 2 + -3 = -1 C + -2c + 6c2 = -1 Add '2c' to each side of the equation. C + -2c + 2c + 6c2 = -1 + 2c Combine like terms: -2c + 2c = 0 C + 0 + 6c2 = -1 + 2c C + 6c2 = -1 + 2c Add '-6c2' to each side of the equation. C + 6c2 + -6c2 = -1 + 2c + -6c2 Combine like terms: 6c2 + -6c2 = 0 C + 0 = -1 + 2c + -6c2 C = -1 + 2c + -6c2 Simplifying C = -1 + 2c + -6c2
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