Alrighty, so you said, simplify: 4t (2s - 7)
When there is a variable or number outside of the parenthesis, it means that it wants the whole thing multiplied by that number.
So, your right way to do this is:
4t (2s) + 4t (-7)
Simplify.
8st - 28t
So, the student incorrectly simplified them because she didn't multiply -7 by 4t like they should have.
~Hope I helped!~