Answer:
[tex] k = 26 [/tex] or [tex] k = -\dfrac{22}{5} [/tex]
Step-by-step explanation:
|3k - 2| = 2|k + 12|
[tex] \dfrac{|3k - 2|}{|k + 12|} = 2 [/tex]
[tex] |\dfrac{3k - 2}{k + 12}| = 2 [/tex]
[tex] 3k - 2 = 2(k + 12) [/tex] or [tex] 3k - 2 = -2(k + 12) [/tex]
[tex] 3k - 2 = 2k + 24 [/tex] or [tex] 3k - 2 = -2k - 24 [/tex]
[tex] k = 26 [/tex] or [tex] 5k = -22 [/tex]
[tex] k = 26 [/tex] or [tex] k = -\dfrac{22}{5} [/tex]
