It's not an issue if you can work or not.
It's the inconvenience of going to a Job interview and 99% of those applying have SSN and you happen to not have one, even tho they might not tell you, you're at a disadvantage.
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2012 Case: Approved. 9/11
2014 Renewal: Approved. 9/02
2016 Renewal: Approved. 9/01
'I do not believe in the collective wisdom of individual ignorance.'
-Thomas Carlyle