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Simplifying 10(6C + -1) + -2 = 58C + 10 Reorder the terms: 10(-1 + 6C) + -2 = 58C + 10 (-1 * 10 + 6C * 10) + -2 = 58C + 10 (-10 + 60C) + -2 = 58C + 10 Reorder the terms: -10 + -2 + 60C = 58C + 10 Combine like terms: -10 + -2 = -12 -12 + 60C = 58C + 10 Reorder the terms: -12 + 60C = 10 + 58C Solving -12 + 60C = 10 + 58C Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '-58C' to each side of the equation. -12 + 60C + -58C = 10 + 58C + -58C Combine like terms: 60C + -58C = 2C -12 + 2C = 10 + 58C + -58C Combine like terms: 58C + -58C = 0 -12 + 2C = 10 + 0 -12 + 2C = 10 Add '12' to each side of the equation. -12 + 12 + 2C = 10 + 12 Combine like terms: -12 + 12 = 0 0 + 2C = 10 + 12 2C = 10 + 12 Combine like terms: 10 + 12 = 22 2C = 22 Divide each side by '2'. C = 11 Simplifying C = 11
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