Simplify by removing factors of 1 . \( \frac{12 z-8}{32} \) The simplified form is \( \square \).

To simplify the expression \( \frac{12 z-8}{32} \), we start by factoring out the greatest common factor from the numerator. The terms in the numerator, \(12z\) and \(-8\), can be factored as follows: \(12z - 8 = 4(3z - 2)\) Now we can rewrite the expression as: \[ \frac{4(3z - 2)}{32} \] Next, we simplify the denominator \(32\) as \(4 \times 8\): \[ \frac{4(3z - 2)}{4 \times 8} \] Now we can cancel the common factor of \(4\) in the numerator and the denominator: \[ \frac{(3z - 2)}{8} \] Thus, the simplified form is: \[ \frac{3z - 2}{8} \text{ or } (3z - 2) \div 8 \] So, the answer is \( \frac{3z - 2}{8} \).