What is the answer to 5|8n+6|-4=106 ?

The answer to 5|8n+6|-4=106 is n=-7/2 \lor n=2

Solve for n: 5|8n+6|-4=106

The solution is n=-7/2 \lor n=2

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5 ∣ 8 n + 6 ∣ - 4 = 106

n = - \frac{7}{2} or n = 2

Decimal Notation

n = - 3.5, n = 2

Solution steps

5 ∣ 8 n + 6 ∣ - 4 = 106

Move

4

to the right side

5 ∣ 8 n + 6 ∣ = 110

Divide both sides by

5

∣ 8 n + 6 ∣ = 22

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 n + 6 = - 22 or 8 n + 6 = 22

8 n + 6 = - 22 or 8 n + 6 = 22

n = - \frac{7}{2} or n = 2

\frac{x}{3} = 3

∣ 3 - m ∣ = 12

4 ∣ 2 x - 4 ∣ + 5 = 10

∣ 3 x ∣ = 6

∣ x - 3 ∣ - 7 = 2

What is the answer to 5|8n+6|-4=106 ?
The answer to 5|8n+6|-4=106 is n=-7/2 \lor n=2
Solve for n: 5|8n+6|-4=106
The solution is n=-7/2 \lor n=2