What is the answer to -89=-|8v-80|-9 ?

The answer to -89=-|8v-80|-9 is v=0\lor v=20

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-89=-|8v-80|-9

- 89 = - ∣ 8 v - 80 ∣ - 9

v = 0 or v = 20

Solution steps

- 89 = - ∣ 8 v - 80 ∣ - 9

Move

∣ 8 v - 80 ∣

to the left side

- 89 + ∣ 8 v - 80 ∣ = - 9

Move

89

to the right side

∣ 8 v - 80 ∣ = 80

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 v - 80 = - 80 or 8 v - 80 = 80

8 v - 80 = - 80 or 8 v - 80 = 80

v = 0 or v = 20

∣ 2 x - 3 ∣ = 5 - 4 x

∣ x ∣ + 1 = 67

∣ a - 2 ∣ = 0

9 - ∣ 6 x ∣ = 7

- 4 = - ∣ k ∣

What is the answer to -89=-|8v-80|-9 ?
The answer to -89=-|8v-80|-9 is v=0\lor v=20
Solve for v: -89=-|8v-80|-9
The solution is v=0\lor v=20