1 ton = 2000 lb
Multiply by 6.
6 ton = 12,000 lb
The problem statement tells you
(truck weight) + (Darnell's items) = 12,000 lb
7,860 lb + (Darnell's items) = 12,000 lb
Subtracting the weight of the truck gives
(Darnell's items) = (12,000 -7,860) lb = 4,140 lb
The weight of items Darnell placed in the truck was 4,140 lb.