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Simplifying 5 + -3c + 4C + -6 = 8C + 11 + -3C + 6 Reorder the terms: 5 + -6 + 4C + -3c = 8C + 11 + -3C + 6 Combine like terms: 5 + -6 = -1 -1 + 4C + -3c = 8C + 11 + -3C + 6 Reorder the terms: -1 + 4C + -3c = 11 + 6 + 8C + -3C Combine like terms: 11 + 6 = 17 -1 + 4C + -3c = 17 + 8C + -3C Combine like terms: 8C + -3C = 5C -1 + 4C + -3c = 17 + 5C Solving -1 + 4C + -3c = 17 + 5C Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '-5C' to each side of the equation. -1 + 4C + -5C + -3c = 17 + 5C + -5C Combine like terms: 4C + -5C = -1C -1 + -1C + -3c = 17 + 5C + -5C Combine like terms: 5C + -5C = 0 -1 + -1C + -3c = 17 + 0 -1 + -1C + -3c = 17 Add '1' to each side of the equation. -1 + -1C + 1 + -3c = 17 + 1 Reorder the terms: -1 + 1 + -1C + -3c = 17 + 1 Combine like terms: -1 + 1 = 0 0 + -1C + -3c = 17 + 1 -1C + -3c = 17 + 1 Combine like terms: 17 + 1 = 18 -1C + -3c = 18 Add '3c' to each side of the equation. -1C + -3c + 3c = 18 + 3c Combine like terms: -3c + 3c = 0 -1C + 0 = 18 + 3c -1C = 18 + 3c Divide each side by '-1'. C = -18 + -3c Simplifying C = -18 + -3c
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