What is the answer to 4|3n+5|+9=9 ?

The answer to 4|3n+5|+9=9 is n=-5/3

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4|3n+5|+9=9

4 ∣ 3 n + 5 ∣ + 9 = 9

n = - \frac{5}{3}

Decimal Notation

n = - 1.66666 \dots

Solution steps

4 ∣ 3 n + 5 ∣ + 9 = 9

Subtract

9

from both sides

4 ∣ 3 n + 5 ∣ + 9 - 9 = 9 - 9

Simplify

4 ∣ 3 n + 5 ∣ = 0

Divide both sides by

4

∣ 3 n + 5 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

3 n + 5 = 0

3 n + 5 = 0 : n = - \frac{5}{3}

n = - \frac{5}{3}

∣ p - 8 ∣ = 3

∣ 2 x - 1 ∣ + 4 = 10

∣ 2 s ∣ = - 6

x^{2} - 1 - x = 0

- 4 ∣ y + 3 ∣ = - 36