Sentence:  An inquiry takes place and more often than not all sides of politics — I should use ‘all' rather than ‘both' with the member for Cunningham sitting opposite — get together and <WSD>nut out</WSD> something, compromising a little bit here or there to come up with a final result. 
Meaning of the word marked with <WSD> tags:  To find a solution for, to work out the finer details, especially in a group discussion.