Answer: [tex]\frac{-10}{7}[/tex]
Step-by-step explanation: We will begin by rewriting the problem:
[tex]9n \ - \ 6 \ < 2n \ - \ 16[/tex]
Next, we subtract 2n from both sides:
[tex]7n \ - \ 6 \ < \ -16[/tex]
Then, we add 6 to both sides:
[tex]7n \ = \ -10[/tex]
Finally, we divide by the coefficient (7):
[tex]n \ = \ \frac{-10}{7}[/tex]
Therefore, n = -10/7.