Algebra help please, not just answers.

I am having trouble with Multics step inequalities for some reason, and I need help. Please tell me the answer and how you got it, or just how you got it. Thanks!
6.(-3)-6(4x+6)>-111

7. 6-4(6n+7)>or equal to 122

8.-138>or equal to -6(6b-7)

9. 167<6+7(2-7r)

10. 5(6+3r)+7>or equal to 127

I am having trouble with Multics step inequalities for some reason, and I need help. Please tell me the answer and how you got it, or just how you got it. Thanks!
6.(-3)-6(4x+6)>-111
Mulitiply by -1 and change the symbol because you multiply by -
3+24x+36<111
add -39
24x<72
X<3


7. 6-4(6n+7)>or equal to 122
Multiply by -1 and chage the symbol
-6+24n+ 28 <= -122
Subsstract by 22. (28-6)
24n<=-144
Divide by 24
n <=- 6

8.