Question

1/10k- 1/15=-1/6 solve for k

Answer 1

1/10k - 1/15 = -1/6
1/10k = -1/6 + 1/15 (common denominator is 30)
1/10k = - 5/30 + 2/30
1/10k = - 3/30
1/10k = - 1/10 -- divide by 1/10
k = 1/10k * - 10/1
k = - 10/10
k = -1

or you could just multiply the entire equation by the LCD, which is 30
1/10k - 1/15 = -1/6 --->(30)
3k - 2 = -5 -- add 2 to both sides
3k = -5 + 2
3k = -3 -- divide both sides by 3
k = -1