Which expressions are equivalent to 
\[-6n+(-12)+4n\] ?

We are given the expression:

\[
-6n + (-12) + 4n
\]

To simplify it, we will combine like terms:

1. Combine the terms with \(n\): 
   \[
   -6n + 4n = (-6 + 4)n = -2n
   \]

2. The constant term remains as it is:
   \[
   -12
   \]

Thus, the simplified expression is:
\[
-2n - 12
\]

Therefore, expressions equivalent to \(-6n + (-12) + 4n\) include:

\[
-2n - 12
\]

Would you like more details or have any questions about the process?

Here are 5 related questions you could explore:
1. What are the steps to combine like terms?
2. How can you identify like terms in an expression?
3. How do you factor an expression like \(-2n - 12\)?
4. Can you simplify expressions with more complex coefficients?
5. What happens if a variable has a coefficient of zero in an expression?

**Tip:** Always combine terms with the same variables and powers to simplify expressions effectively.

Which expressions are equivalent to -6n + (-12) + 4n?

Understand how to simplify the algebraic expression -6n + (-12) + 4n by combining like terms. This problem explores key algebraic concepts, including combining like terms and the distributive property. Suitable for students in Grades 6-8.

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