It looks like the steps provided have some repetition and unclear phrasing. Let’s clarify and organize the steps to solve the equation \( 3n + 9 + 4n = 2 \):
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Combine Like Terms: Start by combining \( 3n \) and \( 4n \) on the left side of the equation. \[ 3n + 4n + 9 = 2 \quad \Rightarrow \quad 7n + 9 = 2 \]
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Use Subtraction to Isolate the Variable: Subtract \( 9 \) from both sides to isolate the term with the variable \( n \). \[ 7n + 9 - 9 = 2 - 9 \quad \Rightarrow \quad 7n = -7 \]
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Divide Both Sides by 7: Divide both sides by \( 7 \) to solve for \( n \). \[ n = \frac{-7}{7} \quad \Rightarrow \quad n = -1 \]
So the corrected and sequenced steps are:
- Combine Like Terms: \( 3n + 9 + 4n = 2 \) becomes \( 7n + 9 = 2 \).
- Subtract \( 9 \) from both sides: \( 7n = -7 \).
- Divide by \( 7 \): \( n = -1 \).
The final solutions can be verified: Substituting \( n = -1 \): \[ 3(-1) + 9 + 4(-1) = -3 + 9 - 4 = 2 \] It holds true!