What is the answer to -8|a-9|-10=-114 ?

The answer to -8|a-9|-10=-114 is a=-4\lor a=22

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-8|a-9|-10=-114

- 8 ∣ a - 9 ∣ - 10 = - 114

a = - 4 or a = 22

Solution steps

- 8 ∣ a - 9 ∣ - 10 = - 114

Move

10

to the right side

- 8 ∣ a - 9 ∣ = - 104

Divide both sides by

- 8

∣ a - 9 ∣ = 13

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

a - 9 = - 13 or a - 9 = 13

a - 9 = - 13 or a - 9 = 13

a = - 4 or a = 22

∣ - c ∣ + 12 = 17

∣ - 7 c ∣ = 3

18 = ∣ 3 n ∣

- 3 ∣ 2 x + 1 ∣ = 15

∣ a + 1 ∣ = 0

What is the answer to -8|a-9|-10=-114 ?
The answer to -8|a-9|-10=-114 is a=-4\lor a=22
Solve for a: -8|a-9|-10=-114
The solution is a=-4\lor a=22