Simplify. \[ \frac{8 a+16 b}{a+2 b} \] \[ \frac{8 a+16 b}{a+2 b}=\square \]

Step 1 ：Define the expression \(\frac{8 a+16 b}{a+2 b}\).

Step 2 ：Simplify the expression using algebraic rules.

Step 3 ：The simplified expression is 8.

Step 4 ：So, the simplified form of \(\frac{8 a+16 b}{a+2 b}\) is \(\boxed{8}\).