What is the answer to |3m+2|=14 ?

The answer to |3m+2|=14 is m=-16/3 \lor m=4

Solve for m: |3m+2|=14

The solution is m=-16/3 \lor m=4

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∣ 3 m + 2 ∣ = 14

m = - \frac{16}{3} or m = 4

Solution steps

∣ 3 m + 2 ∣ = 14

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 m + 2 = - 14 or 3 m + 2 = 14

3 m + 2 = - 14 or 3 m + 2 = 14

m = - \frac{16}{3} or m = 4

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