Question

1. 3(n + 1) - 2 = 4(2n + 3)

Explanation:

Step1: Expand both sides

$3(n + 1) - 2 = 3n + 3 - 2 = 3n + 1$
$4(2n + 3) = 8n + 12$

Step2: Set up the equation

$3n + 1 = 8n + 12$

Step3: Move terms with n to one side

$3n - 8n = 12 - 1$
$-5n = 11$

Step4: Solve for n

$n = \frac{11}{-5} = -\frac{11}{5}$

Answer:

$n = -\frac{11}{5}$