What is the answer to |9-4n|=37 ?

The answer to |9-4n|=37 is n=-7\lor n= 23/2

Solve for n: |9-4n|=37

The solution is n=-7\lor n= 23/2

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∣ 9 - 4 n ∣ = 37

n = - 7 or n = \frac{23}{2}

Decimal

n = - 7, n = 11.5

Solution steps

∣ 9 - 4 n ∣ = 37

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

9 - 4 n = - 37 or 9 - 4 n = 37

9 - 4 n = - 37 or 9 - 4 n = 37

n = - 7 or n = \frac{23}{2}

∣ 4 + x ∣ = 2

∣ z ∣ + 13 = 11

4 ∣ d - 9 ∣ + 2 = 2

∣ 2 x + 1 ∣ - ∣ 3 - x ∣ = 0

y, 4 ∣ 2 - 9 y ∣ = 28