How can I rewrite this equation:
$ \hspace{2in} V_0=\frac{E_1+B_0-B_1}{(1+r)^1} + \frac{E_2+B_1-B_2}{(1+r)^2} + \frac{E_3+B_2-B_3}{1+r)^3} + \dots $
into:
$ \hspace{2in} V_0=B_0+ \frac{E_1-rB_0}{(1+r)^1} + \frac{E_2-rB_1}{(1+r)^2} + \frac{E_3-rB_2}{(1+r)^3} + \dots $
My textbook simply states that this can be done without providing any hints.
I would also appreciate if someone could provide some resources (preferably online) on how to do this sort of algebraic manipulation. I had referred to my textbooks and could not find any hints on how to do this sort of algebraic manipulation.