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Simplifying 6(C + -3) + 8 = 4 + C + -14 Reorder the terms: 6(-3 + C) + 8 = 4 + C + -14 (-3 * 6 + C * 6) + 8 = 4 + C + -14 (-18 + 6C) + 8 = 4 + C + -14 Reorder the terms: -18 + 8 + 6C = 4 + C + -14 Combine like terms: -18 + 8 = -10 -10 + 6C = 4 + C + -14 Reorder the terms: -10 + 6C = 4 + -14 + C Combine like terms: 4 + -14 = -10 -10 + 6C = -10 + C Add '10' to each side of the equation. -10 + 10 + 6C = -10 + 10 + C Combine like terms: -10 + 10 = 0 0 + 6C = -10 + 10 + C 6C = -10 + 10 + C Combine like terms: -10 + 10 = 0 6C = 0 + C 6C = C Solving 6C = C Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '-1C' to each side of the equation. 6C + -1C = C + -1C Combine like terms: 6C + -1C = 5C 5C = C + -1C Combine like terms: C + -1C = 0 5C = 0 Divide each side by '5'. C = 0 Simplifying C = 0
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