7 - 3[ (n 3 + 8n) : (-n) + 9n 2]

2 (20 - 27 n)

Step-by-step explanation:

Simplify the following:

7 - 3 (9*2 n + (3 n + 8 n) / (-n))

3 n + 8 n = 11 n:

7 - 3 (9*2 n + (11 n) / (-n))

(11 n) / (-n) = n/n*11 / (-1) = 11 / (-1):

7 - 3 (9 2 n + 11 / (-1))

Multiply numerator and denominator of 11 / (-1) by - 1:

7 - 3 (9 2 n + - 11)

9*2 = 18:

7 - 3 (18 n - 11)

-3 (18 n - 11) = 33 - 54 n:

33 - 54 n + 7

Add like terms. 7 + 33 = 40:

40 - 54 n

Factor 2 out of 40 - 54 n:

Answer: 2 (20 - 27 n)