1. Stating the problem: Simplify the expression $$-\frac{2}{9} + \left(-\frac{1}{3}\right)$$. 2. Formula and rules: To add or subtract fractions, they must have a common denominator. Then add or subtract the numerators. 3. Find a common denominator for 9 and 3, which is 9. 4. Convert $$-\frac{1}{3}$$ to have denominator 9: $$-\frac{1}{3} = -\frac{1 \times 3}{3 \times 3} = -\frac{3}{9}$$. 5. Now add the fractions: $$-\frac{2}{9} + \left(-\frac{3}{9}\right) = \frac{-2 + (-3)}{9} = \frac{-5}{9}$$. 6. Final answer: $$-\frac{5}{9}$$.