What is the answer to |3m+2|=1 ?

The answer to |3m+2|=1 is m=-1\lor m=-1/3

Solve for m: |3m+2|=1

The solution is m=-1\lor m=-1/3

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∣ 3 m + 2 ∣ = 1

m = - 1 or m = - \frac{1}{3}

Solution steps

∣ 3 m + 2 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 m + 2 = - 1 or 3 m + 2 = 1

3 m + 2 = - 1 or 3 m + 2 = 1

m = - 1 or m = - \frac{1}{3}

∣ 2 x + 4 ∣ = 3 x - 1

∣ 14 - 6 y ∣ = 10

- ∣ x - 4 ∣ - 3 = - 12

∣ 7 x - 7 ∣ = 21

- 4 + 8 ∣ n - 10 ∣ = 52