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Simplifying C + 2(7 + -1c) = 10 + -3c C + (7 * 2 + -1c * 2) = 10 + -3c C + (14 + -2c) = 10 + -3c Reorder the terms: 14 + C + -2c = 10 + -3c Solving 14 + C + -2c = 10 + -3c Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + C + -14 + -2c = 10 + -14 + -3c Reorder the terms: 14 + -14 + C + -2c = 10 + -14 + -3c Combine like terms: 14 + -14 = 0 0 + C + -2c = 10 + -14 + -3c C + -2c = 10 + -14 + -3c Combine like terms: 10 + -14 = -4 C + -2c = -4 + -3c Add '2c' to each side of the equation. C + -2c + 2c = -4 + -3c + 2c Combine like terms: -2c + 2c = 0 C + 0 = -4 + -3c + 2c C = -4 + -3c + 2c Combine like terms: -3c + 2c = -1c C = -4 + -1c Simplifying C = -4 + -1c
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