Let's break down the expression step by step:

The given expression is:

\[
-16 + \frac{20 \times 6}{-6 + 2} - 8
\]

### Step 1: Simplify inside the parentheses
\[
-6 + 2 = -4
\]

Now the expression becomes:
\[
-16 + \frac{20 \times 6}{-4} - 8
\]

### Step 2: Multiply \(20 \times 6\)
\[
20 \times 6 = 120
\]

Now the expression becomes:
\[
-16 + \frac{120}{-4} - 8
\]

### Step 3: Divide \(120\) by \(-4\)
\[
\frac{120}{-4} = -30
\]

Now the expression becomes:
\[
-16 + (-30) - 8
\]

### Step 4: Add and subtract from left to right
\[
-16 + (-30) = -46
\]
\[
-46 - 8 = -54
\]

### Final Answer:
\[
\boxed{-54}
\]

Would you like any more details or clarification?

Here are 5 related questions:
1. How would the answer change if the denominator was \(6 + 2\) instead of \(-6 + 2\)?
2. What happens if you change the operation to multiplication instead of division?
3. How does changing the sign of one of the numbers affect the result?
4. How would you simplify an expression with more than two parentheses?
5. Can you solve this using the distributive property?

**Tip:** Always remember to follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

Discover how to simplify the arithmetic expression -16 + (20 × 6) ÷ (-6 + 2) - 8 using the order of operations (PEMDAS). This detailed step-by-step solution covers key concepts in arithmetic and working with negative numbers. Suitable for students in Grades 6-8.

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