The expression is:

\[
(-2a + 7) - (9 + 5a)
\]

To simplify it, follow these steps:

1. Distribute the negative sign across the second set of parentheses:
\[
= -2a + 7 - 9 - 5a
\]

2. Combine like terms:
\[
= (-2a - 5a) + (7 - 9)
\]
\[
= -7a - 2
\]

Thus, the simplified expression is:
\[
-7a - 2
\]

Would you like further explanation or have any questions?

Here are 5 related questions to deepen your understanding:
1. How would you simplify \( (3b - 4) - (6b + 2) \)?
2. Can you factor \( -7a - 2 \)?
3. What is the result of adding \( -7a - 2 \) to \( 4a + 5 \)?
4. How does distributing a negative sign work in algebraic expressions?
5. What would happen if you multiplied the entire expression \( -7a - 2 \) by 3?

**Tip:** When distributing a negative sign, be sure to change the signs of all terms inside the parentheses.

Learn how to simplify the algebraic expression (-2a + 7) - (9 + 5a) by using the distributive property and combining like terms. This step-by-step guide is ideal for students in Grades 6-8 and covers key concepts in algebraic simplification.

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