Answer:
n = 1
Step-by-step explanation:
Solve for n:
-9 (6 - 4 n) = 2 (9 n - 12) - 12 n
2 (9 n - 12) = 18 n - 24:
-9 (6 - 4 n) = 18 n - 24 - 12 n
Grouping like terms, 18 n - 12 n - 24 = (18 n - 12 n) - 24:
-9 (6 - 4 n) = (18 n - 12 n) - 24
18 n - 12 n = 6 n:
-9 (6 - 4 n) = 6 n - 24
Expand out terms of the left hand side:
36 n - 54 = 6 n - 24
Subtract 6 n from both sides:
(36 n - 6 n) - 54 = (6 n - 6 n) - 24
36 n - 6 n = 30 n:
30 n - 54 = (6 n - 6 n) - 24
6 n - 6 n = 0:
30 n - 54 = -24
Add 54 to both sides:
30 n + (54 - 54) = 54 - 24
54 - 54 = 0:
30 n = 54 - 24
54 - 24 = 30:
30 n = 30
Divide both sides of 30 n = 30 by 30:
(30 n)/30 = 30/30
30/30 = 1:
n = 30/30
30/30 = 1:
Answer: n = 1
