What is the answer to -2|4n|+10=-6 ?

The answer to -2|4n|+10=-6 is n=-2\lor n=2

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-2|4n|+10=-6

- 2 ∣ 4 n ∣ + 10 = - 6

n = - 2 or n = 2

Solution steps

- 2 ∣ 4 n ∣ + 10 = - 6

Move

10

to the right side

- 2 ∣ 4 n ∣ = - 16

Divide both sides by

- 2

∣ 4 n ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 n = - 8 or 4 n = 8

4 n = - 8 or 4 n = 8

n = - 2 or n = 2

x^{2} - 10 x \leq 200

2 ∣ y + 7 ∣ + 13 = 15

4 - x > - 2

63 + 12 x < 15

\frac{6 ^{2}}{3 ^{2}}