What is the answer to 3-8|a+6|=-13 ?

The answer to 3-8|a+6|=-13 is a=-8\lor a=-4

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3-8|a+6|=-13

3 - 8 ∣ a + 6 ∣ = - 13

a = - 8 or a = - 4

Solution steps

3 - 8 ∣ a + 6 ∣ = - 13

Move

3

to the right side

- 8 ∣ a + 6 ∣ = - 16

Divide both sides by

- 8

∣ a + 6 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

a + 6 = - 2 or a + 6 = 2

a + 6 = - 2 or a + 6 = 2

a = - 8 or a = - 4

∣ t ∣ - 2 = - 1

∣ 3 x - 6 ∣ = 9

∣ 5 x - 5 ∣ = 15

∣ 5 x - 2 ∣ = 4 x - 5

∣ 5 x - 2 ∣ = 4 x - 3

What is the answer to 3-8|a+6|=-13 ?
The answer to 3-8|a+6|=-13 is a=-8\lor a=-4
Solve for a: 3-8|a+6|=-13
The solution is a=-8\lor a=-4