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Simplifying 27 = 3c + -3(6 + 2c) 27 = 3c + (6 * -3 + 2c * -3) 27 = 3c + (-18 + -6c) Reorder the terms: 27 = -18 + 3c + -6c Combine like terms: 3c + -6c = -3c 27 = -18 + -3c Solving 27 = -18 + -3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3c' to each side of the equation. 27 + 3c = -18 + -3c + 3c Combine like terms: -3c + 3c = 0 27 + 3c = -18 + 0 27 + 3c = -18 Add '-27' to each side of the equation. 27 + -27 + 3c = -18 + -27 Combine like terms: 27 + -27 = 0 0 + 3c = -18 + -27 3c = -18 + -27 Combine like terms: -18 + -27 = -45 3c = -45 Divide each side by '3'. c = -15 Simplifying c = -15
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