Given the expression:
[tex]18=3(z-8)[/tex]notice that we can move the 3 that is multiplying the factor z-8 to the left dividing the constant 18:
[tex]\begin{gathered} 18=3(z-8) \\ \Rightarrow\frac{18}{3}=z-8 \\ \Rightarrow6=z-8 \end{gathered}[/tex]now we can add 8 on both sides of the equation to get the following:
[tex]\begin{gathered} 6+8=z-8+8 \\ \Rightarrow14=z \end{gathered}[/tex]therefore, z = 14