What is the answer to | n/5 |-3=-2 ?

The answer to | n/5 |-3=-2 is n=-5\lor n=5

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| n/5 |-3=-2

\frac{n}{5} - 3 = - 2

n = - 5 or n = 5

Solution steps

\frac{n}{5} - 3 = - 2

Move

3

to the right side

\frac{n}{5} = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

n = - 5 or n = 5

∣ - 9 + a ∣ = 11

∣ x - 8 ∣ = 20

∣ 3 x - 5 ∣ + x - 7 = 0

y^{2} = - ∣ y ∣ + 12

∣ x - 8 ∣ = - 6