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Simplifying 6(3c + 5) = 24 + -4c Reorder the terms: 6(5 + 3c) = 24 + -4c (5 * 6 + 3c * 6) = 24 + -4c (30 + 18c) = 24 + -4c Solving 30 + 18c = 24 + -4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4c' to each side of the equation. 30 + 18c + 4c = 24 + -4c + 4c Combine like terms: 18c + 4c = 22c 30 + 22c = 24 + -4c + 4c Combine like terms: -4c + 4c = 0 30 + 22c = 24 + 0 30 + 22c = 24 Add '-30' to each side of the equation. 30 + -30 + 22c = 24 + -30 Combine like terms: 30 + -30 = 0 0 + 22c = 24 + -30 22c = 24 + -30 Combine like terms: 24 + -30 = -6 22c = -6 Divide each side by '22'. c = -0.2727272727 Simplifying c = -0.2727272727
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