Let's solve the equation step by step:
Starting with the equation:
\[ 2(4z - 6 - 6) = 170 - 46 \]
First, simplify the right side:
\[ 170 - 46 = 124 \]
Now the equation is:
\[ 2(4z - 12) = 124 \]
Next, divide both sides by 2:
\[ 4z - 12 = 62 \]
Now, add 12 to both sides:
\[ 4z = 62 + 12 \] \[ 4z = 74 \]
Finally, divide both sides by 4 to solve for \( z \):
\[ z = \frac{74}{4} \] \[ z = 18.5 \]
Thus, the value of \( z \) is 18.5.