Реши уравнение -(3k-2:3)+(5:6+2k)=17:18

-(3 * k - 2 : 3) + (5 : 6 + 2 * k) = 17 : 18;

-3 * k + 2/3 + 5/6 + 2 * k = 17/18;

2/3 + 5/6 - 17/18 = 3 * k - 2 * k;

6 * 2/18 + 3 * 5/18 - 17/18 = (3 - 2) * k;

12/18 + 15/18 - 17/18 = k;

k = (12 + 15 - 17)/18 = (27 - 17)/18 = 10/18 = 5/9;

Ответ: k = 5/9.