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:

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

### Step 2:
Subtract 9 from both sides to isolate the term with \( n \).
\[
7n + 9 - 9 = 2 - 9
\]
This gives us:
\[
7n = -7
\]

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

So the complete ordered steps to solve the equation are:

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