Final answer:
None of the provided options (2z-6, 3z+6, 3z-12, 4z-9) match the original expression 3z-9 exactly; therefore, the correct answer is 'None of the above'.
Step-by-step explanation:
When looking for an expression equivalent to 3z-9, we can see that the coefficient of z should remain the same, and the constant term should also match after simplification.
The given options are a) 2z-6, b) 3z+6, c) 3z-12, and d) 4z-9. none of these expressions match the original expression 3z-9 exactly in their current forms, so the answer would be: None of the above.