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Simplifying (C + 3) + -2c + -1(1 + -3c) = 7 Reorder the terms: (3 + C) + -2c + -1(1 + -3c) = 7 Remove parenthesis around (3 + C) 3 + C + -2c + -1(1 + -3c) = 7 3 + C + -2c + (1 * -1 + -3c * -1) = 7 3 + C + -2c + (-1 + 3c) = 7 Reorder the terms: 3 + -1 + C + -2c + 3c = 7 Combine like terms: 3 + -1 = 2 2 + C + -2c + 3c = 7 Combine like terms: -2c + 3c = 1c 2 + C + 1c = 7 Solving 2 + C + 1c = 7 Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + C + -2 + 1c = 7 + -2 Reorder the terms: 2 + -2 + C + 1c = 7 + -2 Combine like terms: 2 + -2 = 0 0 + C + 1c = 7 + -2 C + 1c = 7 + -2 Combine like terms: 7 + -2 = 5 C + 1c = 5 Add '-1c' to each side of the equation. C + 1c + -1c = 5 + -1c Combine like terms: 1c + -1c = 0 C + 0 = 5 + -1c C = 5 + -1c Simplifying C = 5 + -1c
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