If $\left(\frac{3^{6}}{4^{4}}\right) k$ is the term, independent of $x$, in the binomial expansion o

Question

If $\left(\frac{3^{6}}{4^{4}}\right) k$ is the term, independent of $x$, in the binomial expansion of $\left(\frac{x}{4}-\frac{12}{x^{2}}\right)^{12}$, then $k$ is equal to

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