To solve the equation
\[ \frac{t}{5} - 7 = 6, \]
we will first isolate the term containing \( t \).
- Add 7 to both sides of the equation:
\[ \frac{t}{5} - 7 + 7 = 6 + 7 \]
which simplifies to
\[ \frac{t}{5} = 13. \]
- Next, we will eliminate the fraction by multiplying both sides by 5:
\[ t = 13 \times 5. \]
Calculating the right side:
\[ t = 65. \]
Therefore, the solution is
\[ \boxed{65}. \]