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Simplifying 3(c + 2) + 2(c + 6) = 0 Reorder the terms: 3(2 + c) + 2(c + 6) = 0 (2 * 3 + c * 3) + 2(c + 6) = 0 (6 + 3c) + 2(c + 6) = 0 Reorder the terms: 6 + 3c + 2(6 + c) = 0 6 + 3c + (6 * 2 + c * 2) = 0 6 + 3c + (12 + 2c) = 0 Reorder the terms: 6 + 12 + 3c + 2c = 0 Combine like terms: 6 + 12 = 18 18 + 3c + 2c = 0 Combine like terms: 3c + 2c = 5c 18 + 5c = 0 Solving 18 + 5c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 5c = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 5c = 0 + -18 5c = 0 + -18 Combine like terms: 0 + -18 = -18 5c = -18 Divide each side by '5'. c = -3.6 Simplifying c = -3.6
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