Question

Multiplying a number by 9 and subtracting 6 is 16 less than twice the number. Find the number.

Answer 1

Answer: $\frac{-10}{7}$

Step-by-step explanation: We will begin by rewriting the problem:

$9n \ - \ 6 \ < 2n \ - \ 16$

Next, we subtract 2n from both sides:

$7n \ - \ 6 \ < \ -16$

Then, we add 6 to both sides:

$7n \ = \ -10$

Finally, we divide by the coefficient (7):

$n \ = \ \frac{-10}{7}$

Therefore, n = -10/7.