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Simplifying C + -6 + 7c = 5 + -3c + -2 Reorder the terms: -6 + C + 7c = 5 + -3c + -2 Reorder the terms: -6 + C + 7c = 5 + -2 + -3c Combine like terms: 5 + -2 = 3 -6 + C + 7c = 3 + -3c Solving -6 + C + 7c = 3 + -3c Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '6' to each side of the equation. -6 + C + 6 + 7c = 3 + 6 + -3c Reorder the terms: -6 + 6 + C + 7c = 3 + 6 + -3c Combine like terms: -6 + 6 = 0 0 + C + 7c = 3 + 6 + -3c C + 7c = 3 + 6 + -3c Combine like terms: 3 + 6 = 9 C + 7c = 9 + -3c Add '-7c' to each side of the equation. C + 7c + -7c = 9 + -3c + -7c Combine like terms: 7c + -7c = 0 C + 0 = 9 + -3c + -7c C = 9 + -3c + -7c Combine like terms: -3c + -7c = -10c C = 9 + -10c Simplifying C = 9 + -10c
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