\(\left(\frac{-6}{5}.8.9+\frac{5}{9}.\frac{6}{5}\right):\frac{1}{-5}\)
\(=\left[\frac{6}{5}.\left(-72\right)+\frac{6}{5}.\frac{5}{9}\right].\left(-5\right)\)
\(=\frac{6}{5}.\left(-72+\frac{5}{9}\right).\left(-5\right)\)
\(=\frac{6}{5}.\left(-\frac{648}{9}+\frac{5}{9}\right).\left(-5\right)\)
\(=\frac{6}{5}.\left(-\frac{643}{9}\right).\left(-5\right)\)
\(=\frac{6}{5}.\frac{3215}{9}\)
\(=\frac{1286}{3}=428\frac{2}{3}\)