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