What is the answer to -4|b-2|-9=-37 ?

The answer to -4|b-2|-9=-37 is b=-5\lor b=9

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-4|b-2|-9=-37

- 4 ∣ b - 2 ∣ - 9 = - 37

b = - 5 or b = 9

Solution steps

- 4 ∣ b - 2 ∣ - 9 = - 37

Move

9

to the right side

- 4 ∣ b - 2 ∣ = - 28

Divide both sides by

- 4

∣ b - 2 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

b - 2 = - 7 or b - 2 = 7

b - 2 = - 7 or b - 2 = 7

b = - 5 or b = 9

10 + ∣ - 9 n - 7 ∣ = 44

∣ 2 x - 13 ∣ = 1

∣ 3 x - 1 ∣ = 2 x - 4

7 ∣ 8 - 3 x ∣ = 21 x - 49

∣ x - 4 ∣ = 15

What is the answer to -4|b-2|-9=-37 ?
The answer to -4|b-2|-9=-37 is b=-5\lor b=9
Solve for b: -4|b-2|-9=-37
The solution is b=-5\lor b=9