What is the answer to |8n+7|=9 ?

The answer to |8n+7|=9 is n=-2\lor n= 1/4

Solve for n: |8n+7|=9

The solution is n=-2\lor n= 1/4

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∣ 8 n + 7 ∣ = 9

n = - 2 or n = \frac{1}{4}

Decimal Notation

n = - 2, n = 0.25

Solution steps

∣ 8 n + 7 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 n + 7 = - 9 or 8 n + 7 = 9

8 n + 7 = - 9 or 8 n + 7 = 9

n = - 2 or n = \frac{1}{4}

∣ 5 x + 3 ∣ = 2 x

∣ 5 x + 3 ∣ = 38

∣ 2 a + 9 ∣ + 4 = 5

∣ 2 x + 7 ∣ - 2 = 12

∣ 5 x + 3 ∣ = 12