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Simplifying 27 = 3c + -2(6 + -2c) 27 = 3c + (6 * -2 + -2c * -2) 27 = 3c + (-12 + 4c) Reorder the terms: 27 = -12 + 3c + 4c Combine like terms: 3c + 4c = 7c 27 = -12 + 7c Solving 27 = -12 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. 27 + -7c = -12 + 7c + -7c Combine like terms: 7c + -7c = 0 27 + -7c = -12 + 0 27 + -7c = -12 Add '-27' to each side of the equation. 27 + -27 + -7c = -12 + -27 Combine like terms: 27 + -27 = 0 0 + -7c = -12 + -27 -7c = -12 + -27 Combine like terms: -12 + -27 = -39 -7c = -39 Divide each side by '-7'. c = 5.571428571 Simplifying c = 5.571428571
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