To solve the equation $-9z = -6$, follow these steps:

1. Divide both sides of the equation by $-9$ to isolate $z$: $z = \frac{-6}{-9}$

2. Simplify the fraction: $z = \frac{2}{3}$

Thus, the solution is: $z = \frac{2}{3}$

Would you like more details or have any questions?

Here are five related questions you might want to explore:

1. How would you solve $-5z = 15$?
2. What happens if the equation has decimals, such as $-7.5z = -3$?
3. How do you solve two-step equations like $-9z + 4 = -6$?
4. What would be the solution if you had $-9z = 0$?
5. Can you solve $9z = -6$ and compare it to the current equation?

Tip: Always simplify fractions to their lowest terms for a cleaner solution!