A number K is decreased by eight, and the result is multiplied by eight. This product is then divided by two. What is the final result?

Simplifies to 4k - 32

Step-by-step explanation:

To solve, translate the word problem into an equation:

"A number K" - k

"decreased by eight" - subtract 8 or k - 8

"the result is multiplied by eight" - multiply 8 (k - 8)

"this product is then divided by two" - divide by 2 or 8 (k - 8) / 2.

8 (k - 8) / 2 = 4 (k - 8) = 4k - 32.

The simplified form is 4k - 32. To find a final numerical result, substitute any number for k and apply the equation.