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Simplifying 3(3c + 4) = 54 + 6n Reorder the terms: 3(4 + 3c) = 54 + 6n (4 * 3 + 3c * 3) = 54 + 6n (12 + 9c) = 54 + 6n Solving 12 + 9c = 54 + 6n Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 9c = 54 + -12 + 6n Combine like terms: 12 + -12 = 0 0 + 9c = 54 + -12 + 6n 9c = 54 + -12 + 6n Combine like terms: 54 + -12 = 42 9c = 42 + 6n Divide each side by '9'. c = 4.666666667 + 0.6666666667n Simplifying c = 4.666666667 + 0.6666666667n
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