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Simplifying 5(C + -1) = 3(C + 7) Reorder the terms: 5(-1 + C) = 3(C + 7) (-1 * 5 + C * 5) = 3(C + 7) (-5 + 5C) = 3(C + 7) Reorder the terms: -5 + 5C = 3(7 + C) -5 + 5C = (7 * 3 + C * 3) -5 + 5C = (21 + 3C) Solving -5 + 5C = 21 + 3C Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '-3C' to each side of the equation. -5 + 5C + -3C = 21 + 3C + -3C Combine like terms: 5C + -3C = 2C -5 + 2C = 21 + 3C + -3C Combine like terms: 3C + -3C = 0 -5 + 2C = 21 + 0 -5 + 2C = 21 Add '5' to each side of the equation. -5 + 5 + 2C = 21 + 5 Combine like terms: -5 + 5 = 0 0 + 2C = 21 + 5 2C = 21 + 5 Combine like terms: 21 + 5 = 26 2C = 26 Divide each side by '2'. C = 13 Simplifying C = 13
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