What is the answer to |7m|+2=37 ?

The answer to |7m|+2=37 is m=-5\lor m=5

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|7m|+2=37

∣ 7 m ∣ + 2 = 37

m = - 5 or m = 5

Solution steps

∣ 7 m ∣ + 2 = 37

Move

2

to the right side

∣ 7 m ∣ = 35

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 m = - 35 or 7 m = 35

7 m = - 35 or 7 m = 35

m = - 5 or m = 5

3 ∣ x + 2 ∣ = 3 x + 6

∣ 2 a + 16 ∣ - 18 = 14

∣ b + 5 ∣ = b - 2

∣ a - 1 ∣ = 1212

∣ 2 x + 7 ∣ + 11 = 3