What is the answer to 6-2|8b-9|=-24 ?

The answer to 6-2|8b-9|=-24 is b=-3/4 \lor b=3

Solve for b: 6-2|8b-9|=-24

The solution is b=-3/4 \lor b=3

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6 - 2 ∣ 8 b - 9 ∣ = - 24

b = - \frac{3}{4} or b = 3

Decimal Notation

b = - 0.75, b = 3

Solution steps

6 - 2 ∣ 8 b - 9 ∣ = - 24

Move

6

to the right side

- 2 ∣ 8 b - 9 ∣ = - 30

Divide both sides by

- 2

∣ 8 b - 9 ∣ = 15

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 b - 9 = - 15 or 8 b - 9 = 15

8 b - 9 = - 15 or 8 b - 9 = 15

b = - \frac{3}{4} or b = 3

∣ 8 x + 6 ∣ = 3

∣ - 4 y + 4 ∣ + 8 = 4

- 4 ∣ 3 x - 7 ∣ - 7 = - 39

∣ 7 x - 3 ∣ = 10

∣ 5 x + 3 ∣ + 12 = 4

What is the answer to 6-2|8b-9|=-24 ?
The answer to 6-2|8b-9|=-24 is b=-3/4 \lor b=3
Solve for b: 6-2|8b-9|=-24
The solution is b=-3/4 \lor b=3