Let's simplify the expression step by step:  
\[
-3u - 2(9u - 2)
\]

1. Distribute the \(-2\) to both terms inside the parentheses:
\[
-3u - 2 \times 9u + 2 \times 2 = -3u - 18u + 4
\]

2. Combine like terms (\(-3u\) and \(-18u\)):
\[
-21u + 4
\]

So, the simplified expression is:
\[
-21u + 4
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you distribute negative numbers in algebraic expressions?
2. What are like terms, and why do we combine them?
3. How do you simplify expressions involving parentheses?
4. What happens when you have a negative sign before a term?
5. Can you expand \(2(x + y)\)? How is it different from distributing a negative?

**Tip:** Always simplify inside parentheses before distributing.

Learn how to simplify the algebraic expression -3u - 2(9u - 2) with a detailed step-by-step solution. This problem involves using the distributive property and combining like terms, essential for mastering algebra concepts. Suitable for students in Grades 7-9.

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