What is the answer to -3+10|8n-10|=17 ?

The answer to -3+10|8n-10|=17 is n=1\lor n= 3/2

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-3+10|8n-10|=17

- 3 + 10 ∣ 8 n - 10 ∣ = 17

n = 1 or n = \frac{3}{2}

Decimal Notation

n = 1, n = 1.5

Solution steps

- 3 + 10 ∣ 8 n - 10 ∣ = 17

Move

3

to the right side

10 ∣ 8 n - 10 ∣ = 20

Divide both sides by

10

∣ 8 n - 10 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 n - 10 = - 2 or 8 n - 10 = 2

8 n - 10 = - 2 or 8 n - 10 = 2

n = 1 or n = \frac{3}{2}

∣ 10 n - 2 ∣ + 20 = 7

∣ y - 5 ∣ - 2 = - 10

∣ f ∣ + 7 = 18

∣ x ∣ = x^{2} - 20

- 3 ∣ s ∣ = - 9

What is the answer to -3+10|8n-10|=17 ?
The answer to -3+10|8n-10|=17 is n=1\lor n= 3/2
Solve for n: -3+10|8n-10|=17
The solution is n=1\lor n= 3/2