The given expression is:

$3n - 6p + n + n + n + n + n$

Let's simplify it by combining like terms.

1. Group all the terms involving $n$:

$3n + n + n + n + n + n = 8n$

2. Now, substitute this back into the expression:

$8n - 6p$

Thus, the equivalent expression is:

$8n - 6p$

Would you like more details or explanations on this? Here are five related questions to explore further:

1. How do you combine like terms in algebraic expressions?
2. What are the rules for distributing constants in algebraic expressions?
3. How would you factor out common terms from $8n - 6p$?
4. How do you handle expressions with variables that include coefficients and constants?
5. Can this simplified expression be used in solving linear equations?

Tip: Always check for like terms when simplifying algebraic expressions. This will help reduce the expression efficiently.