eight more than the product of four and a number is equivalent to seven less than the same number in equation form.

4n + 8 = n - 7

(In which 'n' represents the unknown number)

(4n + 8) : "Eight more than the product of four and a number"

( = n - 7) : "Is equivalent to seven less than the same number in equation form."

Subtract 8 from both sides:

4n = n - 15

Subtract n from both sides:

3n = - 15

Divide both sides by 3:

n = - 5