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To simplify the expression \( 2(a + 2b) - a - 2b \), we can follow these steps:
1. Distribute the 2:
\[
2(a + 2b) = 2a + 4b
\]
2. Substitute this back into the expression:
\[
2a + 4b - a - 2b
\]
3. Next, combine like terms:
- For the \( a \) terms: \( 2a - a = a \)
- For the \( b \) terms: \( 4b - 2b = 2b \)
Putting it all together, we find:
\[
a + 2b
\]
Thus, the expression \( 2(a + 2b) - a - 2b \) is equivalent to **\( a + 2b \)**.
The correct response is:
**a + 2b**
(A plus 2 b)