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Simplifying -4(6 + -4c) = 8c + 24 (6 * -4 + -4c * -4) = 8c + 24 (-24 + 16c) = 8c + 24 Reorder the terms: -24 + 16c = 24 + 8c Solving -24 + 16c = 24 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. -24 + 16c + -8c = 24 + 8c + -8c Combine like terms: 16c + -8c = 8c -24 + 8c = 24 + 8c + -8c Combine like terms: 8c + -8c = 0 -24 + 8c = 24 + 0 -24 + 8c = 24 Add '24' to each side of the equation. -24 + 24 + 8c = 24 + 24 Combine like terms: -24 + 24 = 0 0 + 8c = 24 + 24 8c = 24 + 24 Combine like terms: 24 + 24 = 48 8c = 48 Divide each side by '8'. c = 6 Simplifying c = 6
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