Simplify $12-\frac{4}{5}\cdot \left(3+\frac{\left(\frac{1}{6}\right)\cdot 3}{4}+\frac{- \frac{1}{2}}{\frac{4}{7}}\right)$

$\frac{1}{2}+52+8$

$\frac{1}{2}\cdot\left(128-84\right)+128-84-\frac{1}{2}\cdot\left(128-84\right)$

$\frac{1}{3}\sqrt{2}-\frac{2}{1-\sqrt{2}}+\frac{3}{\sqrt{2}+1}$

$3\sqrt{2}+5\sqrt{2}-\frac{1}{2}\sqrt{3}+8\sqrt{2}$

$2+2+6$

$\left(10+\frac{\frac{3599}{1000}}{1}\right)\left(1-\frac{21}{500}\right)-\frac{81}{1000}\cdot 353$

$24\cdot \frac{6917}{10000}-54\frac{4}{10}$