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Simplifying 12(9C + -1) + -2 = 106C + 12 Reorder the terms: 12(-1 + 9C) + -2 = 106C + 12 (-1 * 12 + 9C * 12) + -2 = 106C + 12 (-12 + 108C) + -2 = 106C + 12 Reorder the terms: -12 + -2 + 108C = 106C + 12 Combine like terms: -12 + -2 = -14 -14 + 108C = 106C + 12 Reorder the terms: -14 + 108C = 12 + 106C Solving -14 + 108C = 12 + 106C Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '-106C' to each side of the equation. -14 + 108C + -106C = 12 + 106C + -106C Combine like terms: 108C + -106C = 2C -14 + 2C = 12 + 106C + -106C Combine like terms: 106C + -106C = 0 -14 + 2C = 12 + 0 -14 + 2C = 12 Add '14' to each side of the equation. -14 + 14 + 2C = 12 + 14 Combine like terms: -14 + 14 = 0 0 + 2C = 12 + 14 2C = 12 + 14 Combine like terms: 12 + 14 = 26 2C = 26 Divide each side by '2'. C = 13 Simplifying C = 13
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