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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 = 22c 40 + 22c = -26 + -8c + 8c Combine like terms: -8c + 8c = 0 40 + 22c = -26 + 0 40 + 22c = -26 Add '-40' to each side of the equation. 40 + -40 + 22c = -26 + -40 Combine like terms: 40 + -40 = 0 0 + 22c = -26 + -40 22c = -26 + -40 Combine like terms: -26 + -40 = -66 22c = -66 Divide each side by '22'. c = -3 Simplifying c = -3
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