https://file.aiquickdraw.com/mathbot/file/17255131145842c96re2k.jpg

It seems the extracted text from the image isn't fully clear. However, based on what I can observe from the image, the expression to simplify is:

\[
2( - 2h - 4) - \frac{5}{3}h
\]

Let's go ahead and simplify this step by step.

### Step 1: Distribute the \(2\) across the parentheses.
\[
2(-2h - 4) = -4h - 8
\]

### Step 2: Now, write the expression as:
\[
-4h - 8 - \frac{5}{3}h
\]

### Step 3: Combine like terms. First, the terms involving \(h\):
\[
-4h - \frac{5}{3}h
\]

We need a common denominator to combine these terms. Rewrite \(-4h\) as a fraction with denominator 3:
\[
-4h = \frac{-12}{3}h
\]

Now, combine:
\[
\frac{-12}{3}h - \frac{5}{3}h = \frac{-17}{3}h
\]

### Step 4: Now, include the constant term \(-8\):
\[
\frac{-17}{3}h - 8
\]

### Final Simplified Expression:
\[
\frac{-17}{3}h - 8
\]

Let me know if you need further clarification or details! Here are five related questions:

1. What is the distributive property and how does it work?
2. How do you find a common denominator when combining fractions?
3. Why is it important to combine like terms in algebraic expressions?
4. How do you convert improper fractions to mixed numbers?
5. How can you check your work after simplifying an algebraic expression?

**Tip**: Always double-check for common denominators when combining fractional terms to avoid errors!

Simplify the expression: 2(-2h - 4) - (5/3)h.

This detailed solution walks through how to simplify the algebraic expression 2(-2h - 4) - 5/3h using the distributive property and combining like terms. Understand how to handle fractional coefficients and simplify expressions with variables. Suitable for Grades 7-10.

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