The document shows the step-by-step work of solving the equation 5 + 2/3n - 14 = 7 - 8. It is determined that n = 12 by isolating n on one side of the equation and solving. The solution is verified by substituting n = 12 back into the original equation.

1. Math Sound-Off
Pre-Algebra

2. One Problem Equation
5 + 2/3n – 14 = 7 – 8

3. One Problem Equation
5 + 2/3n – 14 = 7 – 8
2/3n + 5 – 14 = 7 – 8

4. One Problem Equation
5 + 2/3n – 14 = 7 – 8
2/3n + 5 – 14 = 7 – 8
2/3n + 5 + (-14) = 7 + (-8)

5. One Problem Equation
5 + 2/3n – 14 = 7 – 8
2/3n + 5 – 14 = 7 – 8
2/3n + 5 + (-14) = 7 + (-8)
2/3n + (-9) = 7 + (-8)

6. One Problem Equation
5 + 2/3n – 14 = 7 – 8
2/3n + 5 – 14 = 7 – 8
2/3n + 5 + (-14) = 7 + (-8)
2/3n + (-9) = 7 + (-8)
2/3n + (-9) = -1

7. One Problem Equation
5 + 2/3n – 14 = 7 – 8
2/3n + 5 – 14 = 7 – 8
2/3n + 5 + (-14) = 7 + (-8)
2/3n + (-9) = 7 + (-8)
2/3n + (-9) = -1
2/3n + (-9) – (-9) = -1 – (-9)

8. One Problem Equation
5 + 2/3n – 14 = 7 – 8
2/3n + 5 – 14 = 7 – 8
2/3n + 5 + (-14) = 7 + (-8)
2/3n + (-9) = 7 + (-8)
2/3n + (-9) = -1
2/3n + (-9) – (-9) = -1 – (-9)
2/3n + (-9) + 9 = -1 + 9

9. One Problem Equation
5 + 2/3n – 14 = 7 – 8
2/3n + 5 – 14 = 7 – 8
2/3n + 5 + (-14) = 7 + (-8)
2/3n + (-9) = 7 + (-8)
2/3n + (-9) = -1
2/3n + (-9) – (-9) = -1 – (-9)
2/3n + (-9) + 9 = -1 + 9
2/3n = -1 + 9

10. One Problem Equation
5 + 2/3n – 14 = 7 – 8
2/3n + 5 – 14 = 7 – 8
2/3n + 5 + (-14) = 7 + (-8)
2/3n + (-9) = 7 + (-8)
2/3n + (-9) = -1
2/3n + (-9) – (-9) = -1 – (-9)
2/3n + (-9) + 9 = -1 + 9
2/3n = -1 + 9
2/3n = 8

11. One Problem Equation
5 + 2/3n – 14 = 7 – 8
2/3n + 5 – 14 = 7 – 8
2/3n + 5 + (-14) = 7 + (-8)
2/3n + (-9) = 7 + (-8)
2/3n + (-9) = -1
2/3n + (-9) – (-9) = -1 – (-9)
2/3n + (-9) + 9 = -1 + 9
2/3n = -1 + 9
2/3n = 8
(3/2)(2/3)n = 8(3/2)

12. One Problem Equation
5 + 2/3n – 14 = 7 – 8
2/3n + 5 – 14 = 7 – 8
2/3n + 5 + (-14) = 7 + (-8)
2/3n + (-9) = 7 + (-8)
2/3n + (-9) = -1
2/3n + (-9) – (-9) = -1 – (-9)
2/3n + (-9) + 9 = -1 + 9
2/3n = -1 + 9
2/3n = 8
(3/2)(2/3)n = 8(3/2)
n = 8(3/2)

13. One Problem Equation
5 + 2/3n – 14 = 7 – 8
2/3n + 5 – 14 = 7 – 8
2/3n + 5 + (-14) = 7 + (-8)
2/3n + (-9) = 7 + (-8)
2/3n + (-9) = -1
2/3n + (-9) – (-9) = -1 – (-9)
2/3n + (-9) + 9 = -1 + 9
2/3n = -1 + 9
2/3n = 8
(3/2)(2/3)n = 8(3/2)
n = 8(3/2)
n = 4(3/1)

14. One Problem Equation
5 + 2/3n – 14 = 7 – 8
2/3n + 5 – 14 = 7 – 8
2/3n + 5 + (-14) = 7 + (-8)
2/3n + (-9) = 7 + (-8)
2/3n + (-9) = -1
2/3n + (-9) – (-9) = -1 – (-9)
2/3n + (-9) + 9 = -1 + 9
2/3n = -1 + 9
2/3n = 8
(3/2)(2/3)n = 8(3/2)
n = 8(3/2)
n = 4(3/1)
n = 12

15. One Problem Equation
5 + 2/3n– 14 = 7 – 8

16. One Problem Equation
5 + 2/3n– 14 = 7 – 8
5 + 2/3(12) – 14 = 7 – 8

17. One Problem Equation
5 + 2/3n– 14 = 7 – 8
5 + 2/3(12) – 14 = 7 – 8
5 + 8 – 14 = 7 – 8

18. One Problem Equation
5 + 2/3n– 14 = 7 – 8
5 + 2/3(12) – 14 = 7 – 8
5 + 8 – 14 = 7 – 8
13 – 14 = 7 – 8

19. One Problem Equation
5 + 2/3n– 14 = 7 – 8
5 + 2/3(12) – 14 = 7 – 8
5 + 8 – 14 = 7 – 8
13 – 14 = 7 – 8
13 + (-14) = 7 + (-8)

20. One Problem Equation
5 + 2/3n– 14 = 7 – 8
5 + 2/3(12) – 14 = 7 – 8
5 + 8 – 14 = 7 – 8
13 – 14 = 7 – 8
13 + (-14) = 7 + (-8)
-1 = 7 + (-8)

21. One Problem Equation
5 + 2/3n– 14 = 7 – 8
5 + 2/3(12) – 14 = 7 – 8
5 + 8 – 14 = 7 – 8
13 – 14 = 7 – 8
13 + (-14) = 7 + (-8)
-1 = 7 + (-8)
-1 = -1

22. One Problem Equation
5 + 2/3n– 14 = 7 – 8
5 + 2/3(12) – 14 = 7 – 8
5 + 8 – 14 = 7 – 8
13 – 14 = 7 – 8
13 + (-14) = 7 + (-8)
-1 = 7 + (-8)
-1 = -1 
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