Put the steps in order to solve the equation: 3n + 9 + 4n = 2

Question

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 \(3n + 9 + 4n = 2\).