Let's simplify the given expression step by step:

The expression is:

\[
-( -4.5q + 8 ) - ( -4.5q + 8 )
\]

### Step 1: Distribute the negative signs
Distribute the negative sign outside each parenthesis:

\[
(-1) \times (-4.5q + 8) - (-1) \times (-4.5q + 8)
\]

This gives:

\[
4.5q - 8 + 4.5q - 8
\]

### Step 2: Combine like terms
Now, combine the terms with \( q \) and the constant terms:

\[
4.5q + 4.5q = 9q
\]
\[
-8 - 8 = -16
\]

### Final result:
\[
9q - 16
\]

So, the simplified expression is:

\[
9q - 16
\]

Would you like more details or have any questions? Here are some related questions you might explore:

1. How do you distribute negative signs over terms in parentheses?
2. What are like terms in algebraic expressions?
3. How can this type of simplification be applied in solving equations?
4. What does combining like terms achieve in simplification?
5. How can distributive properties be applied to more complex expressions?

**Tip:** Always simplify expressions step by step, starting with distribution and then combining like terms.

Learn how to simplify the algebraic expression −(−4.5q+8)−(−4.5q+8) step by step using the distributive property and combining like terms. This problem is perfect for students in Grades 7-9 studying algebra and simplification techniques.

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