Question 164673
lets first label our integers using variable a. First odd integer we will label a+1.  Since they are consecutive we need to add 3,5,and 7 to each of the other integers. we end up with integers a+1,a+3,a+5,and a+7 as being our consecutive integers.  Now our equation will be a+1+a+3+a+5+a+7=-80  and  simplying we get  
4a=-96 which simplifies to a=-24  since a=-24 then a+1=-23  a+3=-21  a+5=-19 and 
a+7=-17 so our 4 consecutive negative intergers are -23,-21,-19,-17....checking we get  -23+(-21)+(-19)+(-17)= -80