another, other

Another or another ( always one word ) means an additional something or someone--
Would you like another cup of coffee?
I would like another slice of pizza, please.
Another may also mean a different someone or something. Another remains one word when used in the sense of  "an other", meaning a different or alternative something or someone--
"Tomorrow is another day."
They moved to another town.

Other or other ( rhymes with another )  describes something else or something different, often one of two alternatives--
No--put that shoe on your other foot.
On the other hand...
We will have to finish this some other time.
The other day, as I was walking down the street, I ran into an old friend.

 Now that you know that, you can say--
"Our friend at the other table would like another soda."