CIRCUIT ANALYSIS: 2 resistors, Indep. Current Source, V.C.C.S - find v0

[Number2Pencil]

the problem is you set V6 = V of the V.C.C.S. remember it's both resistors combined

I updated that diagram to hopefully make it more obvious

 

[VinnyCee]

$$V_{V.C.C.S.}\,=\,V_{6\Omega}\,+\,V_{4\Omega}\,=\,(-8.57\,V)\,+\,(-5.71\,V)\,=\,-14.28\,V$$

$$P_{V.C.C.S.}\,=\,V_{V.C.C.S.}\,I_{V.C.C.S.}\,=\,(-14.28\,V)\,(-11.43\,A)\,=\,163.2\,W$$

Finally!

 

[Number2Pencil]

Good job. Practice with these circuits and you'll be able to do them in your sleep in no time