Determine the solution that exists to the equation below.

8 (j-4) = 2 (4j-16)

All Real Numbers Are Solutions

Explanation:

8 (j - 4) = 2 (4j - 16)

[ Simplify both sides of the equation ]

8 (j - 4) = 2 (4j - 16)

(8) (j) + (8) (-4) = (2) (4j) + (2) (-16) (Distribute)

8j + - 32 = 8j + - 32

8j - 32 = 8j - 32

[ Subtract 8j from both sides ]

8j - 32 - 8j = 8j - 32 - 8j

-32 = - 32

[ Add 32 to both sides ]

-32 + 32 = - 32 + 32

0 = 0

Therefore, all real numbers are solutions.

infinite solutions

Step-by-step explanation:

8 (j-4) = 2 (4j-16)

Distribute

8j - 32 = 8j - 32

Subtract 8j from each side

8j-8j - 32 = 8j-8j - 32

-32 = - 32

This is always true so there are infinite solutions