Question

Put the steps in order to solve the equation: 3n + 9 + 4n = 2
Step 1: _________________ to get __________
Step 2: _________________ to get __________
Step 3: _________________ to get __________
Part 1 (part a)
A. Use subtraction as the inverse operation
B. Combine Like Terms
C. Divide both sides by 7
Part 1 (part b)
A. n = -1
B. 7n + 9 = 2
C. 7n = -7
Part 2 (part a)
A. Divide both sides by 7
B. Combine Like Terms
C. Use subtraction as the inverse operation
Part 2 (part b)
A. n = -1
B. 7n = -7
C. 7n + 9 = 2
Part 3 (part a)
A. Combine Like Terms
B. Use subtraction as the inverse operation
C. Divide both sides by 7
Part 3 (part b)
A. 7n + 9 = 2
B. n = -1
C. 7n = -7

Answer 1

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

**Step 1:** B. Combine Like Terms to get \( 7n + 9 = 2 \)

**Step 2:** C. Use subtraction as the inverse operation to get \( 7n = -7 \)

**Step 3:** A. Divide both sides by 7 to get \( n = -1 \)

Now, organizing the responses as per the parts:

**Part 1 (part a):**
1. **Step 1:** B. Combine Like Terms to get **Step 2:** C. 7n + 9 = 2
2. **Step 2:** A. Use subtraction as the inverse operation to get **Step 3:** 7n = -7
3. **Step 3:** C. Divide both sides by 7 to get **result:** n = -1

**Part 2 (part a):**
1. **Step 1:** B. Combine Like Terms
2. **Step 2:** C. Use subtraction as the inverse operation
3. **Step 3:** A. Divide both sides by 7

**Part 2 (part b):**
1. **Step 1:** C. 7n + 9 = 2
2. **Step 2:** B. 7n = -7
3. **Step 3:** A. n = -1

**Part 3 (part a):**
1. **Step 1:** A. Combine Like Terms
2. **Step 2:** B. Use subtraction as the inverse operation
3. **Step 3:** C. Divide both sides by 7

**Part 3 (part b):**
1. **Step 1:** A. 7n + 9 = 2
2. **Step 2:** C. 7n = -7
3. **Step 3:** B. n = -1

This breakdown completes the steps and keeps the order clear based on the problem given.

Answer 2

are you sure this is correct

Answer 3

Let's go through the steps to correctly solve the equation \(3n + 9 + 4n = 2\) carefully and verify each part.

1. **Combine Like Terms**:
- The left side of the equation combines \(3n\) and \(4n\) to become \(7n\).
- Resulting in: \(7n + 9 = 2\).

2. **Isolate the Variable**:
- To isolate \(7n\), we subtract \(9\) from both sides of the equation:
- Resulting in: \(7n = 2 - 9\) which simplifies to \(7n = -7\).

3. **Solve for \(n\)**:
- Now, divide both sides by \(7\):
- Resulting in: \(n = -1\).

Now let’s list the steps in the correct order and match them with the given options:

### Step Order
1. **Step 1**: Combine Like Terms → Result: \(7n + 9 = 2\)
- Matches with Part 1 (part b) **C.** (7n + 9 = 2), and Part 1 (part a) **B.**.

2. **Step 2**: Use subtraction as the inverse operation → Result: \(7n = -7\)
- Matches with Part 1 (part b) **B.** (7n = -7), and Part 1 (part a) **A.**.

3. **Step 3**: Divide both sides by 7 → Result: \(n = -1\)
- Matches with Part 1 (part b) **A.** (n = -1), and Part 1 (part a) **C.**.

### Summary:
Here's the correct summary to place in the earlier asked format:

**Part 1 (part a)**:
1. **Step 1**: B. Combine Like Terms to get **Step 2**: 7n + 9 = 2
2. **Step 2**: A. Use subtraction as the inverse operation to get **Step 3**: 7n = -7
3. **Step 3**: C. Divide both sides by 7 to get **result**: n = -1

**Part 2 (part a)**:
1. B. Combine Like Terms
2. C. Use subtraction as the inverse operation
3. A. Divide both sides by 7

**Part 2 (part b)**:
1. C. 7n + 9 = 2
2. B. 7n = -7
3. A. n = -1

**Part 3 (part a)**:
1. A. Combine Like Terms
2. B. Use subtraction as the inverse operation
3. C. Divide both sides by 7

**Part 3 (part b)**:
1. A. 7n + 9 = 2
2. C. 7n = -7
3. B. n = -1

Thanks for pointing out the need for verification! The order shown above is the correct sequence of operations to solve the equation \(3n + 9 + 4n = 2\).