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Simplifying 6(c + 4) + 2(5c + 8) = 0 Reorder the terms: 6(4 + c) + 2(5c + 8) = 0 (4 * 6 + c * 6) + 2(5c + 8) = 0 (24 + 6c) + 2(5c + 8) = 0 Reorder the terms: 24 + 6c + 2(8 + 5c) = 0 24 + 6c + (8 * 2 + 5c * 2) = 0 24 + 6c + (16 + 10c) = 0 Reorder the terms: 24 + 16 + 6c + 10c = 0 Combine like terms: 24 + 16 = 40 40 + 6c + 10c = 0 Combine like terms: 6c + 10c = 16c 40 + 16c = 0 Solving 40 + 16c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 16c = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 16c = 0 + -40 16c = 0 + -40 Combine like terms: 0 + -40 = -40 16c = -40 Divide each side by '16'. c = -2.5 Simplifying c = -2.5
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