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 \( 3n + 9 + 4n = 2 \), you can follow these steps:

### Step 1: Combine like terms
Combine the \( n \) terms on the left side:
\[
3n + 4n + 9 = 2
\]
This simplifies to:
\[
7n + 9 = 2
\]

### Step 2: Isolate the variable term
Subtract 9 from both sides to isolate the term containing \( n \):
\[
7n = 2 - 9
\]
This simplifies to:
\[
7n = -7
\]

### Step 3: Solve for \( n \)
Divide both sides by 7 to solve for \( n \):
\[
n = \frac{-7}{7}
\]
This simplifies to:
\[
n = -1
\]

So, the final ordered steps are:

1. Combine like terms to get \( 7n + 9 = 2 \).
2. Subtract 9 from both sides to get \( 7n = -7 \).
3. Divide by 7 to get \( n = -1 \).