Question

-5 | 6n +15 | +2 = - 43

Answer 1

-5/6n + 15/ = -45

/6n + 15/ = 9

square both sides to neutralize absolute value

/6n + 15/^2 = 81

36n^2 + 180n + 225 = 81

divide both sides by 9

4n^2 + 20n + 25 = 9

4n^2 + 20n + 16 = 0

divide both sides by 4

n^2 + 5n + 4 = 0

Factorize

(n + 1)(n + 4) = 0

therefore n = -1 or -4

Answer 2

n=-1 or n=-4

Explanation: