1/3k-4=1

Do you mean

(1/3k) -4 = 1 ???
or do you mean
1/(3k-4) = 1

in the first case
1/3k = 5
15 k = 1
k = 1/15
in the second case
1 = 3k-4
3k = 5
k = 5/3 = 1 2/3