Find the solution for each equation.
 
3*n* + 4 = 2*n* + 12

To solve the equation:

\[
3n + 4 = 2n + 12
\]

### Step-by-Step Solution:
1. **Subtract \( 2n \) from both sides**:
   \[
   (3n - 2n) + 4 = 12
   \]
   This simplifies to:
   \[
   n + 4 = 12
   \]

2. **Subtract 4 from both sides**:
   \[
   n + 4 - 4 = 12 - 4
   \]
   This simplifies to:
   \[
   n = 8
   \]

### Final Solution:
\[
n = 8
\]

Would you like further details or have any questions? 

Here are 5 related questions to expand your knowledge:
1. How would the solution change if the equation was \( 4n + 4 = 2n + 12 \)?
2. Can you solve the equation \( 5n + 7 = 3n + 15 \)?
3. What is the method for solving equations with variables on both sides?
4. How do you handle equations with fractions, such as \( \frac{3n}{2} + 4 = 6 \)?
5. Can you solve the equation \( 6n - 5 = 3n + 10 \)?

**Tip**: Always try to simplify the equation by moving all variable terms to one side and constants to the other side before solving.

Find the solution for each equation. 3n + 4 = 2n + 12

Discover how to solve the linear equation 3n + 4 = 2n + 12 with a clear, step-by-step explanation. This problem introduces fundamental algebraic methods, including variable isolation and constant elimination. Ideal for students in Grades 6-8 looking to strengthen their algebra skills.

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