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.
First, combine the coefficients of \(n\) on the left side:
\[
3n + 4n + 9 = 2
\]
This simplifies to:
\[
7n + 9 = 2
\]

### Step 2: Isolate the variable term.
Next, subtract 9 from both sides to isolate the term with \(n\):
\[
7n + 9 - 9 = 2 - 9
\]
This simplifies to:
\[
7n = -7
\]

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

### Summary of Steps:
1. Combine like terms: \(3n + 9 + 4n = 2\) becomes \(7n + 9 = 2\).
2. Isolate the variable term: \(7n + 9 = 2\) becomes \(7n = -7\).
3. Solve for \(n\): \(7n = -7\) becomes \(n = -1\).

So the final answer is:
- Step 1: Combine like terms.
- Step 2: Isolate the variable term.
- Step 3: Solve for \(n\).