2. Simplify the term with the fraction: [tex]\[
15 \cdot \frac{1}{5} = 3
\][/tex] Thus, the equation becomes: [tex]\[
12 = 15z - 3
\][/tex]
3. Isolate the term with [tex]\( z \)[/tex] by adding 3 to both sides of the equation: [tex]\[
12 + 3 = 15z - 3 + 3
\][/tex] Simplify: [tex]\[
15 = 15z
\][/tex]
4. Solve for [tex]\( z \)[/tex] by dividing both sides of the equation by 15: [tex]\[
\frac{15}{15} = \frac{15z}{15}
\][/tex] Simplify: [tex]\[
1 = z
\][/tex]
Hence, the solution for [tex]\( z \)[/tex] is: [tex]\[
z = 1
\][/tex]
