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Simplifying 27 + -3c = -3(6 + -2c) 27 + -3c = (6 * -3 + -2c * -3) 27 + -3c = (-18 + 6c) Solving 27 + -3c = -18 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 27 + -3c + -6c = -18 + 6c + -6c Combine like terms: -3c + -6c = -9c 27 + -9c = -18 + 6c + -6c Combine like terms: 6c + -6c = 0 27 + -9c = -18 + 0 27 + -9c = -18 Add '-27' to each side of the equation. 27 + -27 + -9c = -18 + -27 Combine like terms: 27 + -27 = 0 0 + -9c = -18 + -27 -9c = -18 + -27 Combine like terms: -18 + -27 = -45 -9c = -45 Divide each side by '-9'. c = 5 Simplifying c = 5
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