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Simplifying 3(3 + -2) + 8c = 27 + -4c Combine like terms: 3 + -2 = 1 3(1) + 8c = 27 + -4c Multiply 3 * 1 3 + 8c = 27 + -4c Solving 3 + 8c = 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. 3 + 8c + 4c = 27 + -4c + 4c Combine like terms: 8c + 4c = 12c 3 + 12c = 27 + -4c + 4c Combine like terms: -4c + 4c = 0 3 + 12c = 27 + 0 3 + 12c = 27 Add '-3' to each side of the equation. 3 + -3 + 12c = 27 + -3 Combine like terms: 3 + -3 = 0 0 + 12c = 27 + -3 12c = 27 + -3 Combine like terms: 27 + -3 = 24 12c = 24 Divide each side by '12'. c = 2 Simplifying c = 2
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