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 \( 3n + 9 + 4n = 2 \), here are the steps in order:

**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 \( n \) term.
\[ 7n + 9 - 9 = 2 - 9 \]
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:
\[ n = -1 \]

In summary, the ordered steps are:
1. Combine like terms to get \( 7n + 9 = 2 \).
2. Subtract 9 to get \( 7n = -7 \).
3. Divide by 7 to get \( n = -1 \).