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!