What is the answer to 2|v+1|+6=14 ?

The answer to 2|v+1|+6=14 is v=-5\lor v=3

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2|v+1|+6=14

2 ∣ v + 1 ∣ + 6 = 14

v = - 5 or v = 3

Solution steps

2 ∣ v + 1 ∣ + 6 = 14

Move

6

to the right side

2 ∣ v + 1 ∣ = 8

Divide both sides by

2

∣ v + 1 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

v + 1 = - 4 or v + 1 = 4

v + 1 = - 4 or v + 1 = 4

v = - 5 or v = 3

y, ∣ y + 5 ∣ = 1

4 ∣ 5 x ∣ + 5 = 17

∣ x + 4 ∣ = 19

- ∣ x ∣ + 9 = - 24

∣ 6 s ∣ = 0