https://file.aiquickdraw.com/mathbot/file/172982145369452qyyyoh.jpg

The expression shown in the image is:

\[
-4a + 2b + b - c + 3c
\]

We can simplify this by combining like terms:

- Combine the terms with \(a\): There's only \(-4a\).
- Combine the terms with \(b\): \(2b + b = 3b\).
- Combine the terms with \(c\): \(-c + 3c = 2c\).

Thus, the simplified expression is:

\[
-4a + 3b + 2c
\]

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

Here are 5 questions related to this:

1. How would the expression change if we add another \(a\)-term, like \(+2a\)?
2. What if the coefficients of \(b\) were fractions instead of whole numbers?
3. How do you handle simplifications with more variables?
4. How would this expression be affected if you factored out a common factor from each term?
5. Can you apply this type of simplification to a system of equations?

**Tip:** When simplifying expressions, always look for terms with the same variables to combine them efficiently.

Learn how to simplify the algebraic expression -4a + 2b + b - c + 3c by combining like terms. This problem covers core algebraic concepts of term simplification and is suitable for students in Grades 6-8.

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