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