You've taken the right first step by substituting in the given values. However, I don't see an exponent on z in the original polynomial. So, it should be:
(2)(-3)-(2)2(-4)+(-3)(-4)
(2)(-3)-(4)(-4)+(-3)(-4) Exponents
-6 - (-16) + 12 Multiplication
-6 + 16 + 12 = 22
If the exponent is supposed to be there on z, just make sure to apply the exponent before multiplying.