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Simplifying 6(c + 9) = 24 + -4c Reorder the terms: 6(9 + c) = 24 + -4c (9 * 6 + c * 6) = 24 + -4c (54 + 6c) = 24 + -4c Solving 54 + 6c = 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. 54 + 6c + 4c = 24 + -4c + 4c Combine like terms: 6c + 4c = 10c 54 + 10c = 24 + -4c + 4c Combine like terms: -4c + 4c = 0 54 + 10c = 24 + 0 54 + 10c = 24 Add '-54' to each side of the equation. 54 + -54 + 10c = 24 + -54 Combine like terms: 54 + -54 = 0 0 + 10c = 24 + -54 10c = 24 + -54 Combine like terms: 24 + -54 = -30 10c = -30 Divide each side by '10'. c = -3 Simplifying c = -3
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