We can solve the equation \( 2 = -9n + 22 - n \) step by step:

### Step 1: Combine like terms on the right side.
\[
-9n - n = -10n
\]
This simplifies the equation to:
\[
2 = -10n + 22
\]

### Step 2: Subtract 22 from both sides to isolate the term with \(n\):
\[
2 - 22 = -10n
\]
\[
-20 = -10n
\]

### Step 3: Divide both sides by -10 to solve for \(n\):
\[
n = \frac{-20}{-10}
\]
\[
n = 2
\]

So, the solution is \(n = 2\).

Would you like more details, or do you have any questions?

Here are 5 related questions to explore:
1. How do you solve a system of equations involving variables on both sides?
2. What happens if the coefficients of \(n\) were fractions?
3. Can you apply this process to quadratic equations?
4. How do you verify the solution by substituting back into the original equation?
5. What are the steps to solve an inequality?

**Tip**: Always combine like terms first to simplify the equation before solving for the variable.

Learn how to solve the linear equation 2 = -9n + 22 - n with a clear, step-by-step breakdown. This problem demonstrates combining like terms, isolating variables, and solving for the unknown. Suitable for students in Grades 6-8.

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