Question

Clear parentheses by applying the distributive property.

–(–3w + 7x – 8)

A. –3w – 7x + 8
B. 3w – 7x – 8
C. 3w – 7x + 8
D. 3w + 7x – 8

Answer 1

By applying the distributive property and multiplying the negative sign to each term inside the parentheses, –(–3w + 7x – 8) simplifies to 3w – 7x + 8, which is option C.

Step-by-step explanation:

To clear parentheses by applying the distributive property, we need to multiply the negative sign outside the parentheses by each term inside the parentheses. Consider the expression –(–3w + 7x – 8). We distribute the negative sign to each term as follows:

–(–3w) becomes 3w,

–(7x) becomes –7x,

–(–8) becomes 8.

So the whole expression simplifies to 3w – 7x + 8, which corresponds to answer choice C.

Answer 2

The answer is C. 3w-7x+8