https://file.aiquickdraw.com/mathbot/file/1729137411586segpegku.jpg

The equation written in the image is:

\[
-2 - 3k - 2 + k + 8 - k
\]

Let's simplify this step-by-step:

1. Combine the constants: \(-2 - 2 + 8 = 4\)
2. Combine the \(k\)-terms: \(-3k + k - k = -3k + 0 = -3k\)

So, the simplified expression is:

\[
4 - 3k
\]

Do you want further details on how the terms were combined? Here are 5 related questions for further practice:

1. How do you combine like terms in algebraic expressions?
2. What would happen if the constants were different, say \(-2 + 3 - 5\)?
3. Can you solve the equation if you were asked to set it equal to zero?
4. How would the result change if one of the terms had a positive \(k\)?
5. How can you factor out terms from an expression like \(4 - 3k\)?

**Tip:** Always group constants and variable terms separately to simplify algebraic expressions efficiently.

Learn how to simplify the algebraic expression -2 - 3k - 2 + k + 8 - k. This step-by-step solution covers key algebraic concepts such as combining like terms and simplifying expressions, suitable for students in Grades 6-8.

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