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Simplifying 3(5C + -1) + -4 = 13C + 3 Reorder the terms: 3(-1 + 5C) + -4 = 13C + 3 (-1 * 3 + 5C * 3) + -4 = 13C + 3 (-3 + 15C) + -4 = 13C + 3 Reorder the terms: -3 + -4 + 15C = 13C + 3 Combine like terms: -3 + -4 = -7 -7 + 15C = 13C + 3 Reorder the terms: -7 + 15C = 3 + 13C Solving -7 + 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. -7 + 15C + -13C = 3 + 13C + -13C Combine like terms: 15C + -13C = 2C -7 + 2C = 3 + 13C + -13C Combine like terms: 13C + -13C = 0 -7 + 2C = 3 + 0 -7 + 2C = 3 Add '7' to each side of the equation. -7 + 7 + 2C = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 2C = 3 + 7 2C = 3 + 7 Combine like terms: 3 + 7 = 10 2C = 10 Divide each side by '2'. C = 5 Simplifying C = 5
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