Let's solve the expression step by step:

\[
(-34 - 14 + 8) : (-8)
\]

1. Simplify the numerator:
\[
-34 - 14 = -48
\]
\[
-48 + 8 = -40
\]

So the expression becomes:
\[
\frac{-40}{-8}
\]

2. Now, simplify the fraction:
\[
\frac{-40}{-8} = 5
\]

Thus, the result of the expression is:
\[
5
\]

Would you like more details or have any questions about this? Here are 5 related questions to expand the concept:

1. What happens when you divide a negative number by a positive number?
2. How do you handle multiple operations in a complex expression?
3. What are the rules for adding and subtracting negative numbers?
4. How do you simplify fractions involving negative numbers?
5. Can you explain how to work with division and signs in general?

**Tip:** Always perform operations inside parentheses first, then follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

Learn how to simplify the arithmetic expression (-34 - 14 + 8) divided by (-8) step by step. This problem covers key concepts in arithmetic, including working with negative numbers, applying order of operations, and simplifying fractions. Suitable for students in Grades 5-7.

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