Wow, you, uh, you weren't kidding about that. To me, this just looks like a harried mess of scribbles. I can't follow anything that's going on here, nor make heads or tails of what it might mean. It sorta almost looks like you might have been trying to set up a telescoping series and cancel the like terms... but I dunno. In any case, your best at this point is almost certainly to start over and work through it again, writing out the steps in a much clearer fashion. For instance, you might start:
\(\displaystyle \displaystyle \sum \limits_{k=1}^{\infty} \dfrac{3}{4^k} = 3 \cdot \sum \limits_{k=1}^{\infty} \dfrac{1}{4^k} = 3 \cdot \sum \limits_{k=1}^{\infty} \left( \dfrac{1}{4} \right)^k\)
Where does this take you? Try finishing up from here.