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Simplifying 3(9c + -5) = 24 + 8c Reorder the terms: 3(-5 + 9c) = 24 + 8c (-5 * 3 + 9c * 3) = 24 + 8c (-15 + 27c) = 24 + 8c Solving -15 + 27c = 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. -15 + 27c + -8c = 24 + 8c + -8c Combine like terms: 27c + -8c = 19c -15 + 19c = 24 + 8c + -8c Combine like terms: 8c + -8c = 0 -15 + 19c = 24 + 0 -15 + 19c = 24 Add '15' to each side of the equation. -15 + 15 + 19c = 24 + 15 Combine like terms: -15 + 15 = 0 0 + 19c = 24 + 15 19c = 24 + 15 Combine like terms: 24 + 15 = 39 19c = 39 Divide each side by '19'. c = 2.052631579 Simplifying c = 2.052631579
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