What is the answer to |8n+12|-19=81 ?

The answer to |8n+12|-19=81 is n=-14\lor n=11

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|8n+12|-19=81

∣ 8 n + 12 ∣ - 19 = 81

n = - 14 or n = 11

Solution steps

∣ 8 n + 12 ∣ - 19 = 81

Move

19

to the right side

∣ 8 n + 12 ∣ = 100

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 n + 12 = - 100 or 8 n + 12 = 100

8 n + 12 = - 100 or 8 n + 12 = 100

n = - 14 or n = 11

∣ 7 x - 5 ∣ = - 12

∣ 2 x + 7 ∣ = 4 x - 7

∣ x ∣ = 121

x^{2} = x + 3

∣ x - 3 ∣^{2} + ∣ 7 x - 21 ∣ - 15 = 0

What is the answer to |8n+12|-19=81 ?
The answer to |8n+12|-19=81 is n=-14\lor n=11
Solve for n: |8n+12|-19=81
The solution is n=-14\lor n=11