2(b + 6) - 7 <= -3b - 30
Let's distribute the 2.
2b + 12 - 7 <= -3b - 30
Combine like terms.
2b + 5 <= -3b - 30
Subtract 2b from both sides and add 30 to both sides.
35 <= -5b
Divide both sides by -5.
-7 >= b
We had to flip the sign because we divided by a negative number.
This means that b <= -7. D is correct.