Найдите значение выражения: -4\frac{5}{6} + 3\frac{3}{23} \cdot (-11\frac{4}{9} - (-3,6) : \frac{9}{35}).

• Convert mixed numbers and decimals to fractions: $$-4\frac{5}{6} = - \frac{29}{6}$$, $$3\frac{3}{23} = \frac{72}{23}$$, $$-11\frac{4}{9} = -\frac{103}{9}$$, $$-3.6 = -\frac{18}{5}$$.
• Perform the division inside the parentheses: $$(-3.6) : \frac{9}{35} = -\frac{18}{5} \cdot \frac{35}{9} = -2 \cdot 7 = -14$$.
• Perform the subtraction inside the parentheses: $$-11\frac{4}{9} - (-14) = -\frac{103}{9} + 14 = -\frac{103}{9} + \frac{126}{9} = \frac{23}{9}$$.
• Perform the multiplication: $$3\frac{3}{23} \cdot \frac{23}{9} = \frac{72}{23} \cdot \frac{23}{9} = \frac{72}{9} = 8$$.
• Perform the addition: $$-4\frac{5}{6} + 8 = -\frac{29}{6} + 8 = -\frac{29}{6} + \frac{48}{6} = \frac{19}{6}$$.

Final Answer: $$\frac{19}{6}$$