Verified Answer :

-11b-4 - -b+3 = -10b-7

That is the same as \((-11b-4)-(-b+3)[/tex}.  Negatives are gross, so let's distribute it.  Remember, that negative can be turned into a positive by changing the sign on every term in the parentheses.  It's called distributing the negative.  So we can change it to [tex](-11b-4)+(b-3)\).  Now it's just basic addition.

\(-11b-4+b-3  =  -10b-7\)

So your final answer is:

\(-10b-7\)