Let's simplify the expression step by step:

Given:
\[
3(-0.7h + 8h + 0.5) - 0.5
\]

### Step 1: Simplify inside the parentheses
Combine like terms inside the parentheses:
\[
-0.7h + 8h = 7.3h
\]
Now, the expression becomes:
\[
3(7.3h + 0.5) - 0.5
\]

### Step 2: Distribute the 3
Distribute the 3 across the terms inside the parentheses:
\[
3(7.3h) + 3(0.5) = 21.9h + 1.5
\]
So, the expression becomes:
\[
21.9h + 1.5 - 0.5
\]

### Step 3: Combine constants
Now, combine the constants \(1.5 - 0.5\):
\[
21.9h + 1
\]

### Final simplified expression:
\[
21.9h + 1
\]

Would you like more details, or have any questions?

Here are 5 related questions for further practice:
1. How would you simplify \(4(-0.6h + 5h + 0.8) - 2\)?
2. Can you solve \(2(3x - 4) + 5(2x + 1)\) for \(x\)?
3. What is the result of distributing \(5\) in \(5(2x - 3y + 4)\)?
4. How do you combine like terms in the expression \(6x + 2y - 3x + 4y\)?
5. What is the simplified form of \(3(5a + 6) - 4(2a - 1)\)?

**Tip:** Always simplify expressions inside parentheses first before applying distribution!

3(-0.7h + 8h + 0.5) - 0.5 in simplest terms

Learn how to simplify the algebraic expression 3(-0.7h + 8h + 0.5) - 0.5 using the distributive property and combining like terms. This step-by-step solution is ideal for students in Grades 6-8, covering key algebra concepts like distribution and simplification.

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