-9.4(z-8)-4.1=5(z+2.5)-5.9

z=

z= (asking for rounded 4 decimal points)

Don't let all those decimals scare you. Just do things as normal:

-9.4(z-8)-4.1=5(z+2.5)-5.9
-9.4z + 75.2 - 4.1 = 5z + 12.5 - 5.9
-9.4z + 71.1 = 5z + 6.6
14.4z = 64.5
z = 64.5/14.4 ≈ 4.47917