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Simplifying C + 5 + -3c = 10 + -1c + -12 Reorder the terms: 5 + C + -3c = 10 + -1c + -12 Reorder the terms: 5 + C + -3c = 10 + -12 + -1c Combine like terms: 10 + -12 = -2 5 + C + -3c = -2 + -1c Solving 5 + C + -3c = -2 + -1c Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + C + -5 + -3c = -2 + -5 + -1c Reorder the terms: 5 + -5 + C + -3c = -2 + -5 + -1c Combine like terms: 5 + -5 = 0 0 + C + -3c = -2 + -5 + -1c C + -3c = -2 + -5 + -1c Combine like terms: -2 + -5 = -7 C + -3c = -7 + -1c Add '3c' to each side of the equation. C + -3c + 3c = -7 + -1c + 3c Combine like terms: -3c + 3c = 0 C + 0 = -7 + -1c + 3c C = -7 + -1c + 3c Combine like terms: -1c + 3c = 2c C = -7 + 2c Simplifying C = -7 + 2c
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