Question

2. Which equation is equivalent to the equation below?

5(n + 6) = 2(n-3) +4
a. 5n + 6 = 2n +1
b. 5n + 30 = 2n - 2
c. 5n +6=2n - 2
d. In + 30 = 2n +1​

Answer 1

b. 5n + 30 = 2n - 2

Explanation:

The distributive property requires the outside factor be applied to every term inside parentheses. After eliminating parentheses using the distributive property, terms can be collected on the right.

5(n +6) = 2(n -3) +4

5n +5·6 = 2n +2(-3) +4

5n + 30 = 2n -6 +4

5n + 30 = 2n - 2 . . . . . matches choice B