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Simplifying C + -12 = 3(C + -6) + -144 Reorder the terms: -12 + C = 3(C + -6) + -144 Reorder the terms: -12 + C = 3(-6 + C) + -144 -12 + C = (-6 * 3 + C * 3) + -144 -12 + C = (-18 + 3C) + -144 Reorder the terms: -12 + C = -18 + -144 + 3C Combine like terms: -18 + -144 = -162 -12 + C = -162 + 3C Solving -12 + C = -162 + 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. -12 + C + -3C = -162 + 3C + -3C Combine like terms: C + -3C = -2C -12 + -2C = -162 + 3C + -3C Combine like terms: 3C + -3C = 0 -12 + -2C = -162 + 0 -12 + -2C = -162 Add '12' to each side of the equation. -12 + 12 + -2C = -162 + 12 Combine like terms: -12 + 12 = 0 0 + -2C = -162 + 12 -2C = -162 + 12 Combine like terms: -162 + 12 = -150 -2C = -150 Divide each side by '-2'. C = 75 Simplifying C = 75
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