Kirchhoff's Loops and Junctions

The blue loop: V1 + V5 + V3 = 0
The purple loop: V2 + V5 + V4 = 0
The green loop: V1 + V2 + V4 + V3 = 0
 
The orange junction: I1 + I2 + I5 = 0
The green junction:  I3 + I4 + I5 = 0