| n/3 |=2 — step-by-step solution

Let's solve in

ℝ

| \frac{n}{3} | = 2

Since

2 \geq 0

| \frac{n}{3} | = 2

is equivalent to

\frac{n}{3} = 2

\frac{n}{3} = -2

Let's solve in

ℝ

\frac{n}{3} = 2

n = 2 \cdot 3

Solution found:

n = 6

Let's solve in

ℝ

\frac{n}{3} = -2

n = -2 \cdot 3

ⓘ A single minus sign does not cancel out, the product of a negative number by a positive number is negative:

-2 \cdot 3

-6

Solution found:

n = -6

▶Solution:

n = {-6, 6}