To solve the equation \( 6 - 2n = 5n + 8 \), follow these steps:

1. **Move all terms involving \( n \) to one side and constant terms to the other side**:
   \[
   6 - 2n = 5n + 8
   \]
   Add \( 2n \) to both sides:
   \[
   6 = 7n + 8
   \]
   Now, subtract 8 from both sides:
   \[
   6 - 8 = 7n
   \]
   Simplifying:
   \[
   -2 = 7n
   \]

2. **Solve for \( n \)**:
   Divide both sides by 7:
   \[
   n = \frac{-2}{7}
   \]

So, the solution is \( n = -\frac{2}{7} \).

Would you like further details or have any questions?

Here are 5 related questions for further practice:
1. Solve \( 3n + 7 = 5n - 9 \).
2. Solve \( 10 - 4n = 3n + 2 \).
3. Solve \( 6n - 2 = 8n + 10 \).
4. Solve \( 12n + 6 = 4n + 22 \).
5. Solve \( 5n - 3 = 2n + 7 \).

**Tip**: Always group like terms (variables and constants) on opposite sides to simplify the solving process.

Learn how to solve the linear equation 6 - 2n = 5n + 8 with a clear, step-by-step guide. This solution covers key algebraic concepts, such as rearranging terms and isolating variables. Perfect for students in Grades 6-8.

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