To solve the equation, follow the order of operations (parentheses first, then multiplication and division, and finally addition and subtraction):

12 + 4 * 3(3z - 4) - (5z - 6)

First, simplify within the parentheses:
3z - 4 = 3(34) - 4 = 102 - 4 = 98

Now substitute this value back into the equation:
12 + 4 3(98) - (534 - 6)

Next, multiply:
12 + 4 * 294 - (170 - 6)

Now simplify the remaining parentheses:
12 + 1176 - (164)

Now subtract within the parentheses:
12 + 1176 - 164

Finally, add and subtract:
12 + 1012

Therefore, the answer is 1024.