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Simplifying 24 = 6(13 + 9c) 24 = (13 * 6 + 9c * 6) 24 = (78 + 54c) Solving 24 = 78 + 54c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-54c' to each side of the equation. 24 + -54c = 78 + 54c + -54c Combine like terms: 54c + -54c = 0 24 + -54c = 78 + 0 24 + -54c = 78 Add '-24' to each side of the equation. 24 + -24 + -54c = 78 + -24 Combine like terms: 24 + -24 = 0 0 + -54c = 78 + -24 -54c = 78 + -24 Combine like terms: 78 + -24 = 54 -54c = 54 Divide each side by '-54'. c = -1 Simplifying c = -1
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