Question

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 of the equation.

\[3n + 4n + 9 = 2\]
This simplifies to:
\[7n + 9 = 2\]

**Step 2:** Subtract 9 from both sides of the equation to isolate the term with \(n\).

\[7n + 9 - 9 = 2 - 9\]
This simplifies to:
\[7n = -7\]

**Step 3:** Divide both sides by 7 to solve for \(n\).

\[\frac{7n}{7} = \frac{-7}{7}\]
This simplifies to:
\[n = -1\]

Putting it together:
1. **Step 1:** Combine like terms to get \(7n + 9 = 2\).
2. **Step 2:** Subtract 9 to get \(7n = -7\).
3. **Step 3:** Divide by 7 to get \(n = -1\).

Answer 2

Subtract 9 to get

is not a choice

Answer 3

I apologize for any confusion. If you need the steps to be presented differently, let's have another look at the solution with a focus on appropriate phrasing.

To solve the equation \(3n + 9 + 4n = 2\), here are the ordered steps:

**Step 1:** Combine like terms on the left side of the equation.

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

**Step 2:** Subtract 9 from both sides of the equation.

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

**Step 3:** Divide both sides by 7.

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

If your options did not include "subtract 9," please let me know the options you have, and I'll help you phrase them to match the choices available to you!

Answer 4

choices:
Combine like terms
Use subtraction as the inverse operation
Divide both sides by 7

Answer 5

Thank you for providing the choices! Based on those, the steps to solve the equation \(3n + 9 + 4n = 2\) can be reordered as follows:

**Step 1:** Combine like terms.
This means combining \(3n\) and \(4n\) on the left side to get:
\[ 7n + 9 = 2 \]

**Step 2:** Use subtraction as the inverse operation.
Here, you would subtract 9 from both sides:
\[ 7n = 2 - 9 \]
Which simplifies to:
\[ 7n = -7 \]

**Step 3:** Divide both sides by 7.
This step gives you:
\[ n = \frac{-7}{7} \]
Which simplifies to:
\[ n = -1 \]

To summarize using your choices:
1. **Step 1:** Combine like terms
2. **Step 2:** Use subtraction as the inverse operation
3. **Step 3:** Divide both sides by 7