Question

Simplify with two distributions:

2(b - 8) - 6(4 + b)
A) -2b - 20
B) -2b + 20
C) 2b - 20
D) 2b + 20

6(8n - 2) - 5(-3n - 4)
A) 66n - 34
B) 66n + 34
C) 66n - 24
D) 66n + 24

Answer 1

To simplify the expression 2(b - 8) - 6(4 + b), distribute the 2 and -6, and then combine like terms. The simplified expression is -4b - 40. For 6(8n - 2) - 5(-3n - 4), distribute the 6 and -5, and combine like terms to get 63n + 8.

Step-by-step explanation:

To simplify the expression 2(b - 8) - 6(4 + b), we can start by applying the distributive property. Distribute the 2 to both terms inside the parentheses, and distribute the -6 to both terms inside the other set of parentheses. This gives us:

2b - 16 - 24 - 6b

Next, combine like terms. The 2b and -6b terms can be combined to give -4b, and the -16 and -24 terms can be combined to give -40. So, the simplified expression is:

-4b - 40

Similarly, to simplify 6(8n - 2) - 5(-3n - 4), distribute the 6 and the -5:

48n - 12 + 15n + 20

Combine like terms to get 63n + 8. So, the simplified expression is:

63n + 8