Answer:
n > -5
Step-by-step explanation:
Step 1: Distribute
-2n - 40 < 5(6 + n) + 7n
-2n - 40 < 30 + 5n + 7n
Step 2: Combine Like Terms
-2n - 40 < 30 + 5n + 7n
-2n - 40 < 30 + 12n
Step 3: Add 2n to both sides
-2n - 40 + 2n < 30 + 12n + 2n
-40 < 30 + 14n
Step 4: Subtract 30 from both sides
-40 - 30 < 30 + 14n - 30
-70 / 14 < 14n / 14
-5 < n
Answer: n > -5
