What is the answer to -2|7-3b|-6=-6 ?

The answer to -2|7-3b|-6=-6 is b= 7/3

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-2|7-3b|-6=-6

- 2 ∣ 7 - 3 b ∣ - 6 = - 6

b = \frac{7}{3}

Decimal

b = 2.33333 \dots

Solution steps

- 2 ∣ 7 - 3 b ∣ - 6 = - 6

Add

6

to both sides

- 2 ∣ 7 - 3 b ∣ - 6 + 6 = - 6 + 6

Simplify

- 2 ∣ 7 - 3 b ∣ = 0

Divide both sides by

- 2

∣ 7 - 3 b ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

7 - 3 b = 0

7 - 3 b = 0 : b = \frac{7}{3}

b = \frac{7}{3}

6 ∣ y ∣ = 24

∣ 4 x + 6 ∣ = 18

∣ - x - 4 ∣ = ∣ - 3 ∣

\frac{3}{2} ∣ 4 r - 4 ∣ - 24 = - 21

x^{2} = ∣ x - 4 ∣ ∣ x - 1 ∣