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Simplifying 2C + 6c + 9(c + 3) = 0 Reorder the terms: 2C + 6c + 9(3 + c) = 0 2C + 6c + (3 * 9 + c * 9) = 0 2C + 6c + (27 + 9c) = 0 Reorder the terms: 27 + 2C + 6c + 9c = 0 Combine like terms: 6c + 9c = 15c 27 + 2C + 15c = 0 Solving 27 + 2C + 15c = 0 Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + 2C + -27 + 15c = 0 + -27 Reorder the terms: 27 + -27 + 2C + 15c = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 2C + 15c = 0 + -27 2C + 15c = 0 + -27 Combine like terms: 0 + -27 = -27 2C + 15c = -27 Add '-15c' to each side of the equation. 2C + 15c + -15c = -27 + -15c Combine like terms: 15c + -15c = 0 2C + 0 = -27 + -15c 2C = -27 + -15c Divide each side by '2'. C = -13.5 + -7.5c Simplifying C = -13.5 + -7.5c
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