As given by the question
There are given that the equation:
[tex]2(2z+5-2)=180-150[/tex]Now,
Solve the above expression,
[tex]\begin{gathered} 2(2z+5-2)=180-150 \\ 4z+10-4=180-150 \end{gathered}[/tex]Then,
[tex]\begin{gathered} 4z+10-4=180-150 \\ 4z+6=30 \\ 4z=30-6 \\ 4z=24 \\ z=\frac{24}{4} \\ z=6 \end{gathered}[/tex]Hence, the value of z is 6.