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Simplifying 5C + -2C + -8 + 7 + -1C = 3 * 4 + 1 Reorder the terms: -8 + 7 + 5C + -2C + -1C = 3 * 4 + 1 Combine like terms: -8 + 7 = -1 -1 + 5C + -2C + -1C = 3 * 4 + 1 Combine like terms: 5C + -2C = 3C -1 + 3C + -1C = 3 * 4 + 1 Combine like terms: 3C + -1C = 2C -1 + 2C = 3 * 4 + 1 Multiply 3 * 4 -1 + 2C = 12 + 1 Combine like terms: 12 + 1 = 13 -1 + 2C = 13 Solving -1 + 2C = 13 Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2C = 13 + 1 Combine like terms: -1 + 1 = 0 0 + 2C = 13 + 1 2C = 13 + 1 Combine like terms: 13 + 1 = 14 2C = 14 Divide each side by '2'. C = 7 Simplifying C = 7
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