1. The problem is to solve for $v$ in the equation \frac{v - 78}{2} = 6. 2. The formula used here is to isolate $v$ by undoing the division by 2. Multiply both sides of the equation by 2: $$2 \times \frac{v - 78}{2} = 6 \times 2$$ 3. Simplify both sides: $$\cancel{2} \times \frac{v - 78}{\cancel{2}} = 12$$ $$v - 78 = 12$$ 4. Now, add 78 to both sides to isolate $v$: $$v - 78 + 78 = 12 + 78$$ $$v = 90$$ 5. The solution is $v = 90$. This means when $v$ is 90, the original equation holds true.