I am looking to center a webpart, and I was wondering if there was a way to center it within the zone it resides?
I assume I can add CSS of some sort somewhere?
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If it works to use a wiki page a quick, easy way to center web parts would be to add a table on the page and place your web part in a cell. It's easy to change the width of each column as well as using one of the default styles to hide the table.
You may not want to use a wiki page for what you are doing. Then you would have to use css to find the web part and move it around in the zone like Marco described in his answer.