What is the answer to (|-3n|)/4 =2 ?

The answer to (|-3n|)/4 =2 is n=-8/3 \lor n= 8/3

Solve for n: (|-3n|)/4 =2

The solution is n=-8/3 \lor n= 8/3

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\frac{∣ - 3 n ∣}{4} = 2

n = - \frac{8}{3} or n = \frac{8}{3}

Decimal Notation

n = - 2.66666 \dots, n = 2.66666 \dots

Solution steps

\frac{∣ - 3 n ∣}{4} = 2

Multiply both sides by

4

∣ - 3 n ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 3 n = - 8 or - 3 n = 8

- 3 n = - 8 or - 3 n = 8

n = - \frac{8}{3} or n = \frac{8}{3}

- 1 = - ∣ b ∣

6 ∣ - 2 x - 3 ∣ - 12 = 30

∣ 4 x - 6 ∣ = x - 3

∣ 4 x - 6 ∣ = x - 1

2 + ∣ 4 x - 9 ∣ = 7

What is the answer to (|-3n|)/4 =2 ?
The answer to (|-3n|)/4 =2 is n=-8/3 \lor n= 8/3
Solve for n: (|-3n|)/4 =2
The solution is n=-8/3 \lor n= 8/3