To simplify the expression:

\[
2u - 3w + 6 + u - 6w
\]

1. Combine the like terms for \( u \):

\[
2u + u = 3u
\]

2. Combine the like terms for \( w \):

\[
-3w - 6w = -9w
\]

3. Finally, include the constant term:

\[
6
\]

So, the simplified expression is:

\[
3u - 9w + 6
\]

Would you like more details or have any questions? Here are 5 related questions you could explore:

1. How would you factor the expression \( 3u - 9w + 6 \)?
2. What happens if you substitute specific values for \( u \) and \( w \)?
3. Can this expression be factored further if a specific relationship between \( u \) and \( w \) is known?
4. How does the simplification change if an additional term \( +5u \) is added?
5. What is the geometric interpretation of the expression \( 3u - 9w + 6 \) in a coordinate plane?

**Tip:** Always group and combine like terms step by step to avoid mistakes when simplifying expressions.

Learn how to simplify the expression 2u - 3w + 6 + u - 6w with a step-by-step solution. This problem involves combining like terms in algebra, specifically focusing on variables u and w, and includes a constant term. Suitable for students in Grades 7-9.

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