What is the answer to -5|m+1|+8=3 ?

The answer to -5|m+1|+8=3 is m=-2\lor m=0

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-5|m+1|+8=3

- 5 ∣ m + 1 ∣ + 8 = 3

m = - 2 or m = 0

Solution steps

- 5 ∣ m + 1 ∣ + 8 = 3

Move

8

to the right side

- 5 ∣ m + 1 ∣ = - 5

Divide both sides by

- 5

∣ m + 1 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

m + 1 = - 1 or m + 1 = 1

m + 1 = - 1 or m + 1 = 1

m = - 2 or m = 0

∣ 3 p - 6 ∣ = 21

- 2 ∣ 2 x - 3 ∣ - 1 = - 11

∣ t ∣ = \frac{1}{2}

3 ∣ 3 n + 9 ∣ = 9

∣ u ∣ - 19 = - 14