What is the answer to |-8w-40|-9=71 ?

The answer to |-8w-40|-9=71 is w=-15\lor w=5

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|-8w-40|-9=71

∣ - 8 w - 40 ∣ - 9 = 71

w = - 15 or w = 5

Solution steps

∣ - 8 w - 40 ∣ - 9 = 71

Move

9

to the right side

∣ - 8 w - 40 ∣ = 80

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 8 w - 40 = - 80 or - 8 w - 40 = 80

- 8 w - 40 = - 80 or - 8 w - 40 = 80

w = - 15 or w = 5

3 ∣ m ∣ = - 20

∣ x - 20 ∣ = 4

∣ 2 x + 11 ∣ = 6

∣ a + 6 ∣ = - 1

∣ x + 3 ∣ = - 32

What is the answer to |-8w-40|-9=71 ?
The answer to |-8w-40|-9=71 is w=-15\lor w=5
Solve for w: |-8w-40|-9=71
The solution is w=-15\lor w=5