solve for n. 11(n - 1) + 35 = 3n\nn = -6\nn = -3\nn = 3\nn = 6

Explanation:

Step1: Expand the left - hand side

$11(n - 1)+35=11n-11 + 35=11n+24$ So the equation becomes $11n + 24=3n$.

Step2: Move the terms with $n$ to one side

Subtract $11n$ from both sides: $11n+24-11n=3n-11n$. This simplifies to $24=-8n$.

Step3: Solve for $n$

Divide both sides by $-8$: $\frac{24}{-8}=\frac{-8n}{-8}$. So $n=-3$.

Answer:

$n = - 3$