What is the answer to 6|-8+5n|-4=74 ?

The answer to 6|-8+5n|-4=74 is n=-1\lor n= 21/5

Solve for n: 6|-8+5n|-4=74

The solution is n=-1\lor n= 21/5

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6 ∣ - 8 + 5 n ∣ - 4 = 74

n = - 1 or n = \frac{21}{5}

Decimal Notation

n = - 1, n = 4.2

Solution steps

6 ∣ - 8 + 5 n ∣ - 4 = 74

Move

4

to the right side

6 ∣ - 8 + 5 n ∣ = 78

Divide both sides by

6

∣ - 8 + 5 n ∣ = 13

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 8 + 5 n = - 13 or - 8 + 5 n = 13

- 8 + 5 n = - 13 or - 8 + 5 n = 13

n = - 1 or n = \frac{21}{5}

- 2 ∣ 6 x + 24 ∣ - 30 = 42

\frac{1}{2} x - 3 = 1

∣ x ∣ = - 71.8

5 ∣ 2 x - 1 ∣ + 20 = 3

∣ 2 x + 5 ∣ - 5 = 7

What is the answer to 6|-8+5n|-4=74 ?
The answer to 6|-8+5n|-4=74 is n=-1\lor n= 21/5
Solve for n: 6|-8+5n|-4=74
The solution is n=-1\lor n= 21/5