To solve for \( v \) in the equation \( 25 = 7 + 3v \), follow these steps:
- Subtract 7 from both sides of the equation:
\[ 25 - 7 = 3v \]
- Simplify the left side:
\[ 18 = 3v \]
- Divide both sides by 3 to isolate \( v \):
\[ v = \frac{18}{3} \]
- Simplify the fraction:
\[ v = 6 \]
Thus, the solution is
\[ \boxed{6} \]