The answer key says the solution is -66 and I cannot figure out how that’s possible.

Answer: -66
Step-by-step explanation:
use PEMDAS. Evaluate the parentheses, then multiplication, then addition.
-3[-3(-4 - 1) - (-3 - 4)]
↓ ↓
-3[-3( -5 ) - ( -7 )]
↓ ↓
-3[ 15 + 7 ]
↓
-3[ 22 ]
↓
-66