https://file.aiquickdraw.com/mathbot/file/17273667005743aeqb8i8.jpg

The image shows the following expression that needs simplification:

\[
-9(-8s - 5t) + 0.4t - 9(5t - 4s)
\]

Let's simplify this step by step:

### Step 1: Distribute the \(-9\) across both parentheses:
\[
-9(-8s - 5t) = 72s + 45t
\]
\[
-9(5t - 4s) = -45t + 36s
\]

### Step 2: Substitute these results into the expression:
\[
72s + 45t + 0.4t - 45t + 36s
\]

### Step 3: Combine like terms:
- Combine \(s\) terms: \(72s + 36s = 108s\)
- Combine \(t\) terms: \(45t - 45t + 0.4t = 0.4t\)

### Final Simplified Expression:
\[
108s + 0.4t
\]

Let me know if you'd like further clarification on any of the steps!

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Here are 5 related questions to practice:
1. Simplify: \( 5(2x + 3y) - 3(4x - y) \)
2. Expand and simplify: \( 2(3x - 5) - 4(2x + 1) \)
3. Factor the expression: \( 10x^2 + 20x \)
4. Simplify: \( 7a - 3(a + 2) \)
5. Combine like terms: \( 3m + 4n - 2m + n \)

**Tip:** Always distribute the multiplication over parentheses before combining like terms!

This example demonstrates how to simplify the algebraic expression -9(-8s - 5t) + 0.4t - 9(5t - 4s). Follow step-by-step instructions using the distributive property and combining like terms. Suitable for students in Grades 7-9.

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