Multiplying a certain even number by 4 then subtracting 16 gives you the next consecutive even number. Find the original number

Let 2k represent the original even number (such that k is an integer)

then 2 (k + 1) is the next consecutive even number.

4 (2k) - 16 = 2 (k + 1)

8k - 16 = 2k + 2

6k = 18

k = 3

since 2k represents the original number, then 2 (3) = 6 is the oroginal number

Answer: 6