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Simplifying 6(4c + n) + n + -3(c + 7n) = 0 (4c * 6 + n * 6) + n + -3(c + 7n) = 0 (24c + 6n) + n + -3(c + 7n) = 0 24c + 6n + n + (c * -3 + 7n * -3) = 0 24c + 6n + n + (-3c + -21n) = 0 Reorder the terms: 24c + -3c + 6n + n + -21n = 0 Combine like terms: 24c + -3c = 21c 21c + 6n + n + -21n = 0 Combine like terms: 6n + n = 7n 21c + 7n + -21n = 0 Combine like terms: 7n + -21n = -14n 21c + -14n = 0 Solving 21c + -14n = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '14n' to each side of the equation. 21c + -14n + 14n = 0 + 14n Combine like terms: -14n + 14n = 0 21c + 0 = 0 + 14n 21c = 0 + 14n Remove the zero: 21c = 14n Divide each side by '21'. c = 0.6666666667n Simplifying c = 0.6666666667n
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