Let's solve the expression step by step:

Expression:  
\[
-(-8.5w - 4x) - 7
\]

### Step 1: Distribute the negative sign.
When you distribute a negative sign over a parenthesis, you change the sign of each term inside:

\[
-(-8.5w - 4x) = 8.5w + 4x
\]

### Step 2: Rewrite the expression after distribution:
\[
8.5w + 4x - 7
\]

This is the simplified form of the expression.

Would you like more details or have any questions?

Here are 5 related questions to explore:

1. How do you distribute negative signs in more complex expressions?
2. Can you factor an expression like \(8.5w + 4x - 7\)?
3. What is the effect of distributing a constant over parentheses?
4. How can you solve for \(w\) or \(x\) in such expressions if they are part of an equation?
5. How does changing coefficients affect the graph of a linear equation?

**Tip:** Always distribute negative signs carefully; it's easy to miss a sign change!

Learn how to simplify the algebraic expression −(−8.5w−4x)−7 step-by-step using the distributive property. This guide is suitable for students in Grades 6-8, covering key concepts like distribution and simplification.

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