https://file.aiquickdraw.com/mathbot/file/1728656100860qk73gaf2.jpg

The expression visible in the image is:

\[
-4w + 10w - 11 + 2w
\]

To simplify this, let's combine like terms:

1. Combine the terms with \(w\):
   \[
   -4w + 10w + 2w = 8w
   \]

2. The constant term remains:
   \[
   -11
   \]

Thus, the simplified expression is:

\[
8w - 11
\]

Would you like more details on how this simplification works, or any further explanation?

Here are 5 related questions to expand on this:
1. How do we simplify more complex algebraic expressions?
2. What if the expression included parentheses—how would that affect the process?
3. How can we solve for \(w\) if this expression equals a certain value?
4. How does combining like terms help in solving equations?
5. What if the expression had fractions—what changes in the approach?

**Tip:** When simplifying algebraic expressions, always start by grouping and combining like terms (those with the same variables and powers).

Learn how to simplify the algebraic expression -4w + 10w - 11 + 2w by combining like terms. This tutorial covers key algebraic concepts suitable for students in Grades 6-8.

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