I backed up the database and then logged into the phpMyAdmin for the new wp install. I then imported the database of the old blog into the new one successfully.
However, the new wp install hasn't reflected this - neither posts nor anything else is online on the new install.
I looked at the database using phpMyAdmin - it has imported all the tables, but instead of merging with or overwriting the old tables, it just added new tables.
The original tables of the new install look like this:
the tables I imported into the new install look like this:
wp_databasenameposts, wp_databasenamepostmeta (databasename being the name of the database of the old wp install)
What's the best way to proceed now?