also calculate emf for E2 Please show calculations for a bet

also calculate emf for E2. Please show calculations for a better understanding of how to do the problem correctly.

Consider the circuit shown in the figure. Note that two currents are shown. Calculate the emfs 1and 3.

applying KCL to find current through middle branch .

I = I1 + I2 = 4 + 4 = 8 A

Applying KVL in right side loop:

e2 - 5I + e3 - 6I2 = 0

20 - (5 x 8 ) + e3 - (6 x 4) = 0

e3 = 44 volt ........Ans

now KVL in left side loop:

e1 - 4I1 - 5I + e3 - 4I1 = 0

e1 - (4 x 4) - (5 x 8) + 44 - (4 x 4) = 0

e1 = 28 volt ......Ans