Question 1044544
Yes.
-4(3+n)=-12-4n>-32
multiply everything by (-1) and change the direction of the inequality
4n+12<32
4n<20
n<5
Try 0 in the original.  It should work
-4(3)>-32
-12>-32 true.
Try 6.  It should not work
-4(9)>-32, -36>-32, false.