To simplify the expression \( a - (a - (2a - 4)) \), follow these steps:
Start from the innermost parentheses:
\[ 2a - 4 \]
Substitute this back into the expression:
\[ a - (a - (2a - 4)) = a - (a - (2a - 4)) \]
This simplifies to:
\[ a - (a - 2a + 4) \]
Now simplify the expression inside the parentheses:
\[ a - (a - 2a + 4) = a - (-a + 4) = a + a - 4 \]
Combine like terms:
\[ 2a - 4 \]
So, the simplified expression is:
\[ \boxed{2a - 4} \]