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Simplifying 3(3 + -1c) + 8c = 27 + -4c (3 * 3 + -1c * 3) + 8c = 27 + -4c (9 + -3c) + 8c = 27 + -4c Combine like terms: -3c + 8c = 5c 9 + 5c = 27 + -4c Solving 9 + 5c = 27 + -4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4c' to each side of the equation. 9 + 5c + 4c = 27 + -4c + 4c Combine like terms: 5c + 4c = 9c 9 + 9c = 27 + -4c + 4c Combine like terms: -4c + 4c = 0 9 + 9c = 27 + 0 9 + 9c = 27 Add '-9' to each side of the equation. 9 + -9 + 9c = 27 + -9 Combine like terms: 9 + -9 = 0 0 + 9c = 27 + -9 9c = 27 + -9 Combine like terms: 27 + -9 = 18 9c = 18 Divide each side by '9'. c = 2 Simplifying c = 2
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