Answer:
k = 16/3
Explanation:
Start by calculating the difference on the left side.
1/4k - 4 + 5/4k = 3/8k + 2
Multiply both sides of the equation by 8
2k - 32 + 10k = 3k + 16
Calculate sum on left side
12k - 32 = 3k + 16
Subtract 3k and add 32 to both sides
9k = 48
Divide both sides by 9
k = 48/9 = 16/3