Final answer:
To use the distributive property on 8(-2z + 1), multiply 8 by each term inside the parentheses to get -16z + 8.
Step-by-step explanation:
The student is asking for help in applying the distributive property to expand the algebraic expression 8(-2z + 1). The distributive property indicates that to multiply a sum by a number, you can multiply each addend of the sum by the number and then add the products. Apply this property to 8(-2z + 1) as follows:
- Multiply 8 by -2z to get -16z.
- Multiply 8 by 1 to get 8.
- Combine the two products to get the expanded expression: -16z + 8.
Therefore, using the distributive property, 8(-2z + 1) expands to -16z + 8.