What is the answer to 4-9|-6-b|=-14 ?

The answer to 4-9|-6-b|=-14 is b=-8\lor b=-4

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4-9|-6-b|=-14

4 - 9 ∣ - 6 - b ∣ = - 14

b = - 8 or b = - 4

Solution steps

4 - 9 ∣ - 6 - b ∣ = - 14

Move

4

to the right side

- 9 ∣ - 6 - b ∣ = - 18

Divide both sides by

- 9

∣ - 6 - b ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 6 - b = - 2 or - 6 - b = 2

- 6 - b = - 2 or - 6 - b = 2

b = - 8 or b = - 4

∣ x - 2 ∣ + 6 = 0

∣ 3 - x ∣ = 10

∣ w ∣ = - 2

x^{2} - 1 - x = x

x^{2} - 1 = 1

What is the answer to 4-9|-6-b|=-14 ?
The answer to 4-9|-6-b|=-14 is b=-8\lor b=-4
Solve for b: 4-9|-6-b|=-14
The solution is b=-8\lor b=-4