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the first equation looks like it has a typo

Ah yes, It's supposed to be 9u-27 = -81 !

going from 9u-27+27 = -81 + 27 to the next line
9u= -54
looks like simplifying

Both look like simplifying?

if you started with a line
9(u-3)= -81
then going to 9u-27= -81 would be distributing

can you post your labels for each line?

Yes. Basically the question is asking which equation matches with which property.

I'm not sure how to answer the question then.

Subtraction property? And the third to fourth is simplify?

what is different between this line:
9u-27 = -81
and this line: 9u-27 +27 = -81 +27 ?

They add 27 to both sides

But we're using simplify twice.

and we use the same reason two different times.
That's ok