Question

solve for n. 1 - 3n = -9 + n + 2 n =

Explanation:

Step1: Simplify the right side

First, combine the constant terms on the right side. The right side of the equation is $-9 + n + 2$. Combining the constants $-9$ and $2$ gives $-9 + 2 = -7$. So the equation simplifies to $1 - 3n = n - 7$.

Step2: Get all n terms on one side

To get all the $n$ terms on one side, we can add $3n$ to both sides of the equation. This gives $1 - 3n + 3n = n - 7 + 3n$, which simplifies to $1 = 4n - 7$.

Step3: Solve for n

Next, we add $7$ to both sides to isolate the term with $n$. So $1 + 7 = 4n - 7 + 7$, which simplifies to $8 = 4n$. Then, we divide both sides by $4$: $\frac{8}{4} = \frac{4n}{4}$, which gives $n = 2$.

Answer:

$n = 2$