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Simplifying 4c + 4(6 + 5c) = 0 4c + (6 * 4 + 5c * 4) = 0 4c + (24 + 20c) = 0 Reorder the terms: 24 + 4c + 20c = 0 Combine like terms: 4c + 20c = 24c 24 + 24c = 0 Solving 24 + 24c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 24c = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 24c = 0 + -24 24c = 0 + -24 Combine like terms: 0 + -24 = -24 24c = -24 Divide each side by '24'. c = -1 Simplifying c = -1
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