You make the smallest integer, because you don't know what it is. Then to find the sum of the consecutive integers, you set up the equation, x+(x+1)+(x+2)=-96. Then you solve for x.
3x+3=96
3x=93
x=31
But x is the smallest number so you need to add 2 to x to get the largest integer.
So the largest integer is 33.
Hope this helps.
