5|n|-15=40 — step-by-step solution

Let's solve in

ℝ

5 \cdot | n | - 15 = 40

ⓘ We add

15

to both sides

5 \cdot | n | = 40 + 15

ⓘ Start from

40

and move forward

15

on the number line:

40 + 15

55

5 \cdot | n | = 55

Since

5 \neq 0

, divide both sides by

5

| n | = 11

Since

11 \geq 0

| n | = 11

is equivalent to

n = 11

n = -11

Solution obtained:

n = -11

▶Solution:

n = {-11, 11}