What is the answer to 4|m+3|-3=-3 ?

The answer to 4|m+3|-3=-3 is m=-3

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4|m+3|-3=-3

4 ∣ m + 3 ∣ - 3 = - 3

m = - 3

Solution steps

4 ∣ m + 3 ∣ - 3 = - 3

Add

3

to both sides

4 ∣ m + 3 ∣ - 3 + 3 = - 3 + 3

Simplify

4 ∣ m + 3 ∣ = 0

Divide both sides by

4

∣ m + 3 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

m + 3 = 0

m + 3 = 0 : m = - 3

m = - 3

∣ x ∣ = x^{2} - 30

∣ 2 + 2 x ∣ + 1 = 3

14 ∣ 3 - 8 x ∣ + 14 = 52

∣ - 6 k ∣ = 30

∣ 3 - x ∣ = 6