What is the answer to -3+10|n-10|=7 ?

The answer to -3+10|n-10|=7 is n=9\lor n=11

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-3+10|n-10|=7

- 3 + 10 ∣ n - 10 ∣ = 7

n = 9 or n = 11

Solution steps

- 3 + 10 ∣ n - 10 ∣ = 7

Move

3

to the right side

10 ∣ n - 10 ∣ = 10

Divide both sides by

10

∣ n - 10 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

n - 10 = - 1 or n - 10 = 1

n - 10 = - 1 or n - 10 = 1

n = 9 or n = 11

∣ 4 x - 2 ∣ = x - 3

∣ d ∣ - 3 = 3

∣ - 4 z + 3 ∣ + 7 = 4

x^{2} - 5 x + 4 = 0

∣ d + 8 ∣ - 10 = - 9

What is the answer to -3+10|n-10|=7 ?
The answer to -3+10|n-10|=7 is n=9\lor n=11
Solve for n: -3+10|n-10|=7
The solution is n=9\lor n=11