Let's solve each of the mathematical equations step by step:
1. [tex]\( 9 - 6 = 3 \)[/tex]
2. [tex]\( 7 - (-2) = 7 + 2 = 9 \)[/tex]
3. [tex]\( 15 \div 3 = 5 \)[/tex]
4. [tex]\( 9 \times (-8) = -72 \)[/tex]
5. [tex]\( 4 \div 2 = 2 \)[/tex]
6. [tex]\( 16 \div 2 = 8 \)[/tex]
7. [tex]\( 6 \times (-8) = -48 \)[/tex]
8. [tex]\( 9 - 1 = 8 \)[/tex]
9. [tex]\( 3 + 4 = 7 \)[/tex]
10. [tex]\( (-2) + 2 = 0 \)[/tex]
11. [tex]\( 2 + 1 = 3 \)[/tex]
12. [tex]\( 8 - (-4) = 8 + 4 = 12 \)[/tex]
13. [tex]\( 25 \times (-5) = -125 \)[/tex]
14. [tex]\( (-4) \times (-1) = 4 \)[/tex]
Assuming [tex]\( j \)[/tex] in the equation [tex]\( 5 + j = 10 \)[/tex]:
15. [tex]\( j = 10 - 5 = 5 \)[/tex]
16. [tex]\( 9 + (-7) = 9 - 7 = 2 \)[/tex]
17. [tex]\( 4 \times (-7) = -28 \)[/tex]
18. [tex]\( (-6) - (-1) = -6 + 1 = -5 \)[/tex]
19. [tex]\( (-9) + (-2) = -11 \)[/tex]
20. [tex]\( (-8) - 1 = -9 \)[/tex]
21. [tex]\( 7 + 1 = 8 \)[/tex]
22. [tex]\( (-4) - 4 = -8 \)[/tex]
23. [tex]\( 1 + 7 = 8 \)[/tex]
24. [tex]\( 15 \times 6 = 90 \)[/tex]
25. [tex]\( (-5) \times (-2) = 10 \)[/tex]
26. [tex]\( (-27) + (-3) = -30 \)[/tex]
27. [tex]\( (-2) - 7 = -9 \)[/tex]
28. [tex]\( 5 - (-4) = 5 + 4 = 9 \)[/tex]
Thus, the verified results for all the steps are:
[tex]\[ [3, 9, 5, -72, 2, 8, -48, 8, 7, 0, 3, 12, -125, 4, 5, 2, -28, -5, -11, -9, 8, -8, 8, 90, 10, -30, -9, 9] \][/tex]