Let's simplify the expression \( 3n - n + 32 + 5n - 5 \).

1. Combine the like terms involving \( n \):
   \[
   3n - n + 5n = (3 - 1 + 5)n = 7n
   \]
   
2. Combine the constant terms:
   \[
   32 - 5 = 27
   \]

Thus, the simplified expression is:
\[
7n + 27
\]

Would you like further details on this or have any questions?

Here are five related questions:
1. How would you solve \( 7n + 27 = 0 \)?
2. Can you solve the equation \( 3n - 5 = n + 27 \)?
3. What happens when you substitute \( n = 3 \) into the expression \( 7n + 27 \)?
4. How do you factor an expression like \( 7n + 27 \), if possible?
5. What is the general method to simplify polynomial expressions?

**Tip:** Always group and simplify like terms (variables and constants) for easier calculations.

Learn how to simplify the algebraic expression 3n - n + 32 + 5n - 5. This detailed explanation covers key algebraic concepts, including combining like terms and simplifying expressions. Suitable for students in Grades 6-8.

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