1. (2 - k) + (-4 + 2)

2. 1/4 (q - 12) + 1/3 (q + 9)

3. (n - 8) - (-2n + 2)

4.

Distribute: = (1/4) (q) + (1/4) (-12) + (1/3) (q) + (1/3) (9) = 14 q + - 3 + 1/3 q + 3

Combine Like Terms: = 1/4 q + - 3 + 1/3 q + 3 = (1/4 q + 1/3 q) + (-3 + 3) = 712 q

1.

2-k - 4 + 2 = 2 + - k + - 4 + 2

Combine Like Terms: = 2 + - k + - 4 + 2 =

(-k) + (2 + - 4 + 2)

= - k

2. Distribute: = (1/4) (q) + (1/4) (-12) + (1/3) (q) + (1/3) (9) =

14q+-3+1/3q+3

Combine Like Terms:=1/4q+-3+1/3q+3=

(1/4q+1/3q) + (-3+3) =

7/12q

3.

Distribute the Negative Sign: = n-8 + - 1 ( - 2n + 2) =

n + - 8 + - 1 ( - 2n) + (-1) (2) =

n + - 8 + 2n + - 2

Combine Like Terms:

= n + - 8 + 2n + - 2

= (n + 2n) + (-8 + - 2)

= 3n + - 10