Which is a simplified form of the expression - 4 (n + 1) - (n + 2) ?

A. 2n + 3

B. - 3n - 2

C. - 4n - 5

D. - 5n - 6

D) - 5n-6

Step-by-step explanation:

-4 (n+1) - (n+2)

-4n-4-n-2

-4n-n-4-2

-5n-4-2

-5n-6

- (5 n + 6)

Step-by-step explanation:

Simplify the following:

-4 (n + 1) - (n + 2)

-4 (n + 1) = - 4 n - 4:

-4 n - 4 - (n + 2)

- (n + 2) = - n - 2:

-4 - 4 n + - n - 2

Grouping like terms, - 4 - 4 n - 2 - n = (-4 n - n) + (-4 - 2):

(-4 n - n) + (-4 - 2)

-4 n - n = - 5 n:

-5 n + (-4 - 2)

-4 - 2 = - (4 + 2):

-5 n + - (4 + 2)

4 + 2 = 6:

-5 n - 6

Factor - 1 out of - 5 n - 6:

Answer: - (5 n + 6)