Which expression is equivalent to 9(4v+2)+2v?

To simplify the expression \( 9(4v + 2) + 2v \), we can follow these steps:

1. Distribute the 9 in the first part of the expression: \[ 9(4v) + 9(2) = 36v + 18 \]

2. Combine this with the \( 2v \): \[ 36v + 18 + 2v \]

3. Combine like terms (the \( 36v \) and \( 2v \)): \[ 36v + 2v = 38v \]

4. Now put it all together: \[ 38v + 18 \]

Thus, the expression \( 9(4v + 2) + 2v \) is equivalent to \( 38v + 18 \).