How to reduce to this?

In a worked out solution I am trying to figure out, this equation is reduced in one step. Can someone please break this up into a step by step simplification. (remember, j is the imaginary number as this is electrical engineering)

(1/2)*(1/(1-(1/2)e^(jw))+e^(-jw)*(1)/(... = 0.75*e^(-jw)/(1.25-cos(w))
Update: typo, forgot a ')'

(1/2)*(1/(1-(1/2)e^(j*w)))+e^(-j*w)*(1)...
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