To solve the equation \( 10z - 6 = 24 \), follow these steps:
- Add 6 to both sides of the equation:
\[ 10z - 6 + 6 = 24 + 6 \]
This simplifies to:
\[ 10z = 30 \]
- Divide both sides by 10:
\[ z = \frac{30}{10} \]
This simplifies to:
\[ z = 3 \]
Thus, the solution for \( z \) is \( \boxed{3} \).