Question

Solve the equation -9(6 -4n) = 2(9n -12) - 12n​

Answer 1

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