2^(3z+9)=8^(2z+1)

2^(3z+9)=8^(2z+1)

but 8 = 2^3 so
the same as
2^(3z+9)=[2^3]^(2z+1) = 2^(6z+3)
so it seems:
3 z + 9 = 6 z + 3
your turn