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Simplifying 3(5C + 1) + -2 = 13C + 3 Reorder the terms: 3(1 + 5C) + -2 = 13C + 3 (1 * 3 + 5C * 3) + -2 = 13C + 3 (3 + 15C) + -2 = 13C + 3 Reorder the terms: 3 + -2 + 15C = 13C + 3 Combine like terms: 3 + -2 = 1 1 + 15C = 13C + 3 Reorder the terms: 1 + 15C = 3 + 13C Solving 1 + 15C = 3 + 13C Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '-13C' to each side of the equation. 1 + 15C + -13C = 3 + 13C + -13C Combine like terms: 15C + -13C = 2C 1 + 2C = 3 + 13C + -13C Combine like terms: 13C + -13C = 0 1 + 2C = 3 + 0 1 + 2C = 3 Add '-1' to each side of the equation. 1 + -1 + 2C = 3 + -1 Combine like terms: 1 + -1 = 0 0 + 2C = 3 + -1 2C = 3 + -1 Combine like terms: 3 + -1 = 2 2C = 2 Divide each side by '2'. C = 1 Simplifying C = 1
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