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Simplifying 8(c + 3) + 3(4 + 2c) = 0 Reorder the terms: 8(3 + c) + 3(4 + 2c) = 0 (3 * 8 + c * 8) + 3(4 + 2c) = 0 (24 + 8c) + 3(4 + 2c) = 0 24 + 8c + (4 * 3 + 2c * 3) = 0 24 + 8c + (12 + 6c) = 0 Reorder the terms: 24 + 12 + 8c + 6c = 0 Combine like terms: 24 + 12 = 36 36 + 8c + 6c = 0 Combine like terms: 8c + 6c = 14c 36 + 14c = 0 Solving 36 + 14c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 14c = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 14c = 0 + -36 14c = 0 + -36 Combine like terms: 0 + -36 = -36 14c = -36 Divide each side by '14'. c = -2.571428571 Simplifying c = -2.571428571
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