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4E/R - 9I3/2 = I3

Trying to solve for I3... I should get:

8E/2R -9I3 = 2(I3).. and then 8E/2R = 11(I3).. and then I3= 4E/11R

However I am looking at my teachers solution and her answer was:

4E/R - 9I3/2 = I3

4E/R = 2I3/2 + 9I3/2 = 11I3/2 . How did she get the 2I3/2? It doesn't make sense to me. Once again, I am trying to solve for I3.

Please help, I really appreciate it. Thanks.