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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 of the equation.
This gives us:
\[ (3n + 4n) + 9 = 2 \]
which simplifies to:
\[ 7n + 9 = 2 \]

Step 2: Subtract 9 from both sides of the equation to isolate the term with \(n\).
This gives us:
\[ 7n + 9 - 9 = 2 - 9 \]
which simplifies to:
\[ 7n = -7 \]

Step 3: Divide both sides by 7 to solve for \(n\).
This gives us:
\[ n = \frac{-7}{7} \]
which simplifies to:
\[ n = -1 \]

So, in order, the steps are:

  1. Combine like terms to get \(7n + 9 = 2\).
  2. Subtract 9 to get \(7n = -7\).
  3. Divide by 7 to get \(n = -1\).