Step 1 :Substitute \(z=-3\) into the expression \(\frac{4 z-3}{z-2}\).
Step 2 :After substitution, the expression becomes \(\frac{4*(-3) - 3}{-3 - 2}\).
Step 3 :Simplify the expression to get the value 3.
Step 4 :\(\boxed{3}\) is the final answer.