To simplify the expression \(10p - 4(8p - 2)\), follow these steps:

1. Distribute \(-4\) to both terms inside the parentheses:
   \[
   -4 \times 8p = -32p
   \]
   \[
   -4 \times -2 = 8
   \]
   So, \(-4(8p - 2) = -32p + 8\).

2. Substitute this back into the original expression:
   \[
   10p - 32p + 8
   \]

3. Combine like terms:
   \[
   10p - 32p = -22p
   \]
   Therefore, the expression simplifies to:
   \[
   -22p + 8
   \]

The final simplified expression is \(-22p + 8\).

Would you like more details or have any questions? Here are some related questions you might consider:

1. How do you factor the expression \(-22p + 8\)?
2. What is the value of the expression when \(p = 1\)?
3. How can you solve for \(p\) if the expression equals zero?
4. Can you explain the distributive property used in this problem?
5. What are similar expressions that you can simplify in a similar way?

Tip: Always check your work by substituting values back into the original expression to ensure consistency!

Explore the step-by-step solution to simplifying the expression 10p - 4(8p - 2). This process involves the distributive property and combining like terms, making it suitable for Grades 6-8 students.

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