What is the answer to -|8-4n|-2=-50 ?

The answer to -|8-4n|-2=-50 is n=-10\lor n=14

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-|8-4n|-2=-50

- ∣ 8 - 4 n ∣ - 2 = - 50

n = - 10 or n = 14

Solution steps

- ∣ 8 - 4 n ∣ - 2 = - 50

Move

2

to the right side

- ∣ 8 - 4 n ∣ = - 48

Divide both sides by

- 1

∣ 8 - 4 n ∣ = 48

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 - 4 n = - 48 or 8 - 4 n = 48

8 - 4 n = - 48 or 8 - 4 n = 48

n = - 10 or n = 14

∣ 2 u - 4 ∣ = 10

∣ x - 3 ∣ - 2 = x

x^{2} - 4 x + 4 = 2

3 x \frac{3}{2} = 6

∣ x + 3 ∣ = 4 - 5 x

What is the answer to -|8-4n|-2=-50 ?
The answer to -|8-4n|-2=-50 is n=-10\lor n=14
Solve for n: -|8-4n|-2=-50
The solution is n=-10\lor n=14