Answer:
Hence, the value of z is -39/7.
Step-by-step explanation:
[tex]\sf \leadsto \dfrac{z + 9}{3(z + 5)} = -2[/tex]
[tex]\sf \leadsto \dfrac{z + 9}{3z + 15} = -2[/tex]
[tex]\sf \leadsto z + 9 = -2(3z + 15)[/tex]
[tex]\sf \leadsto z + 9 = -6z - 30[/tex]
[tex]\sf \leadsto z + 6z = -30 - 9[/tex]
[tex]\sf \leadsto 7z = -39[/tex]
[tex]\sf \leadsto z = \dfrac{-39}{7}[/tex]
