$\frac{v-9}{3}=-8$

Step 1 ：Multiply both sides of the equation by 3 to get rid of the denominator on the left side: \(3 \times \frac{v-9}{3} = 3 \times -8\) which simplifies to \(v - 9 = -24\).

Step 2 ：Add 9 to both sides to isolate 'v': \(v - 9 + 9 = -24 + 9\) which simplifies to \(v = -15\).

Step 3 ：So, the solution to the equation is \(v = \boxed{-15}\).