https://file.aiquickdraw.com/mathbot/file/1725419857523ln9yivk3.jpg

The given expression is:

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

Let's simplify this step by step.

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

2. Combine like terms:
   - Combine the \(a\) terms: \(-2a - 5a = -7a\)
   - Combine the constant terms: \(7 - 9 = -2\)

Thus, the simplified expression is:

\[
-7a - 2
\]

Would you like more details or have any questions?

Here are some related questions you might find useful:
1. How would you simplify the expression \((-3x + 5) - (4 - 2x)\)?
2. Can you solve for \(a\) if \(-7a - 2 = 0\)?
3. How do you distribute a negative sign in expressions like these?
4. What is the general process for combining like terms?
5. How does the order of operations apply when simplifying expressions?

**Tip:** When simplifying algebraic expressions, always be careful with distributing negative signs, as it’s a common source of mistakes.

Learn how to simplify the algebraic expression (-2a + 7) - (9 + 5a) step-by-step. This solution involves distributing a negative sign and combining like terms, making it ideal for students in Grades 7-9.

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