What is the answer to 5n+24=|8-3n| ?

The answer to 5n+24=|8-3n| is n=-2

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5n+24=|8-3n|

5 n + 24 = ∣ 8 - 3 n ∣

n = - 2

Solution steps

5 n + 24 = ∣ 8 - 3 n ∣

Find positive and negative intervals

n \leq \frac{8}{3}, n > \frac{8}{3}

Solve the inequality for each interval

n = - 2 or No Solution

n = - 2

3 ∣ x + 1 ∣ - 4 = 5

- ∣ b - 4 ∣ + 8 = 10

∣ 2 g + 6 ∣ = 0

∣ 2 x + 3 ∣ = 15

9 - 3 ∣ x + 3 ∣ = 1