Question

solve $3(3n + 1) - 2(n - 3) = 37$. $n = -\frac{34}{11}$ $n = \frac{40}{11}$ $n = 4$ $n = \frac{40}{7}$

Explanation:

Step1: Expand the parentheses

$3(3n+1) - 2(n-3) = 9n + 3 - 2n + 6$

Step2: Combine like terms

$9n - 2n + 3 + 6 = 7n + 9$

Step3: Set equal to 37, isolate term

$7n = 37 - 9$
$7n = 28$

Step4: Solve for n

$n = \frac{28}{7}$

Answer:

$n = 4$ (the third option: $n = 4$)