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Simplifying 4(5c + 8d) + -24 = -20c (5c * 4 + 8d * 4) + -24 = -20c (20c + 32d) + -24 = -20c Reorder the terms: -24 + 20c + 32d = -20c Solving -24 + 20c + 32d = -20c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '20c' to each side of the equation. -24 + 20c + 20c + 32d = -20c + 20c Combine like terms: 20c + 20c = 40c -24 + 40c + 32d = -20c + 20c Combine like terms: -20c + 20c = 0 -24 + 40c + 32d = 0 Add '24' to each side of the equation. -24 + 40c + 24 + 32d = 0 + 24 Reorder the terms: -24 + 24 + 40c + 32d = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 40c + 32d = 0 + 24 40c + 32d = 0 + 24 Combine like terms: 0 + 24 = 24 40c + 32d = 24 Add '-32d' to each side of the equation. 40c + 32d + -32d = 24 + -32d Combine like terms: 32d + -32d = 0 40c + 0 = 24 + -32d 40c = 24 + -32d Divide each side by '40'. c = 0.6 + -0.8d Simplifying c = 0.6 + -0.8d
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