To solve the equation \( 2(4z - 3 - 1) = 166 - 46 \), we first simplify both sides.
Starting with the right side: \[ 166 - 46 = 120 \] So the equation becomes: \[ 2(4z - 3 - 1) = 120 \]
Now simplify the left side: \[ 4z - 3 - 1 = 4z - 4 \] Thus, the equation is now: \[ 2(4z - 4) = 120 \]
Next, distribute the 2: \[ 8z - 8 = 120 \]
Now, add 8 to both sides: \[ 8z = 128 \]
Next, divide both sides by 8: \[ z = 16 \]
Thus, the value of \( z \) is \( \boxed{16} \).