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Simplifying 40 + 14C = 2(4C + -13) Reorder the terms: 40 + 14C = 2(-13 + 4C) 40 + 14C = (-13 * 2 + 4C * 2) 40 + 14C = (-26 + 8C) Solving 40 + 14C = -26 + 8C Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '-8C' to each side of the equation. 40 + 14C + -8C = -26 + 8C + -8C Combine like terms: 14C + -8C = 6C 40 + 6C = -26 + 8C + -8C Combine like terms: 8C + -8C = 0 40 + 6C = -26 + 0 40 + 6C = -26 Add '-40' to each side of the equation. 40 + -40 + 6C = -26 + -40 Combine like terms: 40 + -40 = 0 0 + 6C = -26 + -40 6C = -26 + -40 Combine like terms: -26 + -40 = -66 6C = -66 Divide each side by '6'. C = -11 Simplifying C = -11
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