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Simplifying 3(8C + -3) + -2 = 22C + 3 Reorder the terms: 3(-3 + 8C) + -2 = 22C + 3 (-3 * 3 + 8C * 3) + -2 = 22C + 3 (-9 + 24C) + -2 = 22C + 3 Reorder the terms: -9 + -2 + 24C = 22C + 3 Combine like terms: -9 + -2 = -11 -11 + 24C = 22C + 3 Reorder the terms: -11 + 24C = 3 + 22C Solving -11 + 24C = 3 + 22C Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '-22C' to each side of the equation. -11 + 24C + -22C = 3 + 22C + -22C Combine like terms: 24C + -22C = 2C -11 + 2C = 3 + 22C + -22C Combine like terms: 22C + -22C = 0 -11 + 2C = 3 + 0 -11 + 2C = 3 Add '11' to each side of the equation. -11 + 11 + 2C = 3 + 11 Combine like terms: -11 + 11 = 0 0 + 2C = 3 + 11 2C = 3 + 11 Combine like terms: 3 + 11 = 14 2C = 14 Divide each side by '2'. C = 7 Simplifying C = 7
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