 3, left parenthesis, minus, 0, point, 7, h, plus, 8, h, plus, 0, point, 5, right parenthesis, minus, 0, point, 5, h3(−0.7h+8h+0.5)−0.5h

Let's simplify the given expression step by step.

You provided:
\[
3 \left( -0.7h + 8h + 0.5 \right) - 0.5h
\]

### Step 1: Distribute the 3 across the terms inside the parentheses.
\[
3 \cdot (-0.7h) + 3 \cdot 8h + 3 \cdot 0.5
\]
\[
= -2.1h + 24h + 1.5
\]

So the expression becomes:
\[
-2.1h + 24h + 1.5 - 0.5h
\]

### Step 2: Combine the terms involving \( h \).
\[
(-2.1h + 24h - 0.5h) + 1.5
\]
\[
= 21.4h + 1.5
\]

### Final expression:
\[
21.4h + 1.5
\]

This is the simplified version of the given expression.

Would you like more details or have any questions?

### Related questions:
1. What are the properties of the distributive law in algebra?
2. How do you combine like terms involving variables?
3. What is the general method to simplify linear expressions?
4. How does multiplying decimals with variables work in algebra?
5. How do you solve equations after simplifying algebraic expressions?

#### Tip:
Always check for like terms involving the same variable to combine them efficiently when simplifying expressions.

Learn how to simplify the algebraic expression 3(-0.7h + 8h + 0.5) - 0.5h by applying the distributive property and combining like terms. This problem covers essential algebra concepts suitable for students in Grades 7-9.

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