What is the value of n in the equation –(2n + 4) + 6 = –9 + 4(2n + 1)?

Question

asked Nov 27, 2018 89.1k views

2 Answers

Daviddarx · Answer 1 · 2018-12-03T22:30:33+0000

5/2

Start by eliminating parentheses.

... 2n +4 +6 = -9 +8n +4

... 10 = -5 +6n . . . . subtract 2n

... 15 = 6n . . . . . . . add 5

... 15/6 = n = 5/2

_____

Check

(2·5/2 +4) +6 = -9 +4(2·5/2 +1)

5 +4 +6 = -9 +4(5 +1)

15 = -9 +24 . . . . . true, so the answer checks OK