4(k-2) = 2(k-9)
open the parentheses
4k - 8 = 2k - 18
subtract 2k from both-side of the equation
4k - 2k - 8 = 2k - 2k - 18
2k - 8 = -18
Add 8 to both-side of the equation
2k - 8 + 8 = -18 + 8
2k = -10
Divide both-side of the equation by 2
k = -10/2
k= -5