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Simplifying 4(6 + C) = 3(C + -2) (6 * 4 + C * 4) = 3(C + -2) (24 + 4C) = 3(C + -2) Reorder the terms: 24 + 4C = 3(-2 + C) 24 + 4C = (-2 * 3 + C * 3) 24 + 4C = (-6 + 3C) Solving 24 + 4C = -6 + 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. 24 + 4C + -3C = -6 + 3C + -3C Combine like terms: 4C + -3C = 1C 24 + 1C = -6 + 3C + -3C Combine like terms: 3C + -3C = 0 24 + 1C = -6 + 0 24 + 1C = -6 Add '-24' to each side of the equation. 24 + -24 + 1C = -6 + -24 Combine like terms: 24 + -24 = 0 0 + 1C = -6 + -24 1C = -6 + -24 Combine like terms: -6 + -24 = -30 1C = -30 Divide each side by '1'. C = -30 Simplifying C = -30
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