Question

4(3z - 6) = 24

Explanation:

Step1: Divide both sides by 4

To isolate the term with \( z \), we divide both sides of the equation \( 4(3z - 6)=24 \) by 4.
\[
\frac{4(3z - 6)}{4}=\frac{24}{4}
\]
Simplifying both sides, we get \( 3z - 6 = 6 \).

Step2: Add 6 to both sides

To isolate the term with \( z \), we add 6 to both sides of the equation \( 3z - 6 = 6 \).
\[
3z - 6 + 6=6 + 6
\]
Simplifying both sides, we get \( 3z=12 \).

Step3: Divide both sides by 3

To solve for \( z \), we divide both sides of the equation \( 3z = 12 \) by 3.
\[
\frac{3z}{3}=\frac{12}{3}
\]
Simplifying both sides, we get \( z = 4 \).

Answer:

\( z = 4 \)