What is the answer to -32=-|b-10|-2 ?

The answer to -32=-|b-10|-2 is b=-20\lor b=40

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-32=-|b-10|-2

- 32 = - ∣ b - 10 ∣ - 2

b = - 20 or b = 40

Solution steps

- 32 = - ∣ b - 10 ∣ - 2

Move

∣ b - 10 ∣

to the left side

- 32 + ∣ b - 10 ∣ = - 2

Move

32

to the right side

∣ b - 10 ∣ = 30

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

b - 10 = - 30 or b - 10 = 30

b - 10 = - 30 or b - 10 = 30

b = - 20 or b = 40

- 7 ∣ 5 n ∣ = - 14

0 = - 9 ∣ - 7 c ∣

- 3 ∣ a ∣ - 4 = - 34

x^{2} + 4 x = 5 x + 12

∣ 10 x + 9 ∣ = 5

What is the answer to -32=-|b-10|-2 ?
The answer to -32=-|b-10|-2 is b=-20\lor b=40
Solve for b: -32=-|b-10|-2
The solution is b=-20\lor b=40