What is the answer to -2-8|m-2|=-34 ?

The answer to -2-8|m-2|=-34 is m=-2\lor m=6

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-2-8|m-2|=-34

- 2 - 8 ∣ m - 2 ∣ = - 34

m = - 2 or m = 6

Solution steps

- 2 - 8 ∣ m - 2 ∣ = - 34

Move

2

to the right side

- 8 ∣ m - 2 ∣ = - 32

Divide both sides by

- 8

∣ m - 2 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

m - 2 = - 4 or m - 2 = 4

m - 2 = - 4 or m - 2 = 4

m = - 2 or m = 6

∣ 2 m - 6 ∣ = 10

2 x^{2} - 3 ∣ x ∣ = x

∣ 3 x + 27 ∣ - 16 = - 16

∣ 16 x - 9 ∣ = 10

3 ∣ 2 x + 7 ∣ = 3 x + 12

What is the answer to -2-8|m-2|=-34 ?
The answer to -2-8|m-2|=-34 is m=-2\lor m=6
Solve for m: -2-8|m-2|=-34
The solution is m=-2\lor m=6