To simplify the expression \( 2(4 - uv) - 8 \):

1. Apply the distributive property:  
   \( 2(4 - uv) = 2 \times 4 - 2 \times uv = 8 - 2uv \).

2. Now, simplify the full expression:  
   \( 8 - 2uv - 8 \).

3. Combine like terms:  
   \( 8 - 8 - 2uv = -2uv \).

Thus, the simplified expression is:

\[
-2uv
\]

Would you like any further details or have any questions?

Here are some related questions to expand your understanding:
1. How do you distribute a constant over parentheses in algebra?
2. What is the associative property of multiplication?
3. How do you combine like terms in algebraic expressions?
4. What happens when you subtract terms with variables in algebra?
5. Can you simplify the expression further if \( u = v = 1 \)?

**Tip:** Always look for like terms (constants or similar variables) to simplify expressions efficiently.

Learn how to simplify the algebraic expression 2(4 - uv) - 8 step-by-step using the distributive property and combining like terms. This example helps reinforce key algebraic concepts like the distributive and associative properties. Ideal for students in Grades 7-8.

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