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Simplifying 27 = c + -3(6 + -2c) 27 = c + (6 * -3 + -2c * -3) 27 = c + (-18 + 6c) Reorder the terms: 27 = -18 + c + 6c Combine like terms: c + 6c = 7c 27 = -18 + 7c Solving 27 = -18 + 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 = -18 + 7c + -7c Combine like terms: 7c + -7c = 0 27 + -7c = -18 + 0 27 + -7c = -18 Add '-27' to each side of the equation. 27 + -27 + -7c = -18 + -27 Combine like terms: 27 + -27 = 0 0 + -7c = -18 + -27 -7c = -18 + -27 Combine like terms: -18 + -27 = -45 -7c = -45 Divide each side by '-7'. c = 6.428571429 Simplifying c = 6.428571429
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