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Simplifying 8C + 12 = 4(C + -3) Reorder the terms: 12 + 8C = 4(C + -3) Reorder the terms: 12 + 8C = 4(-3 + C) 12 + 8C = (-3 * 4 + C * 4) 12 + 8C = (-12 + 4C) Solving 12 + 8C = -12 + 4C Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '-4C' to each side of the equation. 12 + 8C + -4C = -12 + 4C + -4C Combine like terms: 8C + -4C = 4C 12 + 4C = -12 + 4C + -4C Combine like terms: 4C + -4C = 0 12 + 4C = -12 + 0 12 + 4C = -12 Add '-12' to each side of the equation. 12 + -12 + 4C = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 4C = -12 + -12 4C = -12 + -12 Combine like terms: -12 + -12 = -24 4C = -24 Divide each side by '4'. C = -6 Simplifying C = -6
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