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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

1 answer

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: \( n = -1 \)