Question

6. Put the steps in order to solve the equation:  3n+9+4n=2 (6 points)Step 1:  to get Step 2:  to get Step 3:  to get

Answer 1

To solve the equation \(3n + 9 + 4n = 2\), we can follow these steps in order:

### Step 1: Combine like terms
Combine \(3n\) and \(4n\) on the left side of the equation.

\[
3n + 4n + 9 = 2 \quad \text{(to get)} \quad 7n + 9 = 2
\]

### Step 2: Move constant terms to the right
Subtract \(9\) from both sides to isolate the term with \(n\).

\[
7n + 9 - 9 = 2 - 9 \quad \text{(to get)} \quad 7n = -7
\]

### Step 3: Solve for \(n\)
Now, divide both sides by \(7\).

\[
n = \frac{-7}{7} \quad \text{(to get)} \quad n = -1
\]

So the ordered steps are:
- **Step 1**: Combine like terms to get \(7n + 9 = 2\).
- **Step 2**: Move constant terms to the right to get \(7n = -7\).
- **Step 3**: Solve for \(n\) to get \(n = -1\).