Question

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

Answer 1

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

1. **Combine like terms**: Combine the terms with \( n \) on the left side of the equation.
\[
3n + 4n + 9 = 2 \implies 7n + 9 = 2
\]

2. **Isolate the \( n \) terms**: Subtract 9 from both sides to isolate the \( n \) terms.
\[
7n + 9 - 9 = 2 - 9 \implies 7n = -7
\]

3. **Solve for \( n \)**: Divide both sides by 7 to find the value of \( n \).
\[
n = \frac{-7}{7} \implies n = -1
\]

4. **Check your solution**: Substitute \( n = -1 \) back into the original equation to ensure it holds true.
\[
3(-1) + 9 + 4(-1) = -3 + 9 - 4 = 2
\]
Since both sides equal 2, the solution is confirmed.

Putting it all together, the steps in order are:

1. Combine like terms.
2. Isolate the \( n \) terms.
3. Solve for \( n \).
4. Check your solution.