What is the answer to -4|w-16|+9=-39 ?

The answer to -4|w-16|+9=-39 is w=4\lor w=28

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-4|w-16|+9=-39

- 4 ∣ w - 16 ∣ + 9 = - 39

w = 4 or w = 28

Solution steps

- 4 ∣ w - 16 ∣ + 9 = - 39

Move

9

to the right side

- 4 ∣ w - 16 ∣ = - 48

Divide both sides by

- 4

∣ w - 16 ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

w - 16 = - 12 or w - 16 = 12

w - 16 = - 12 or w - 16 = 12

w = 4 or w = 28

1 - 6 ∣ 28 - 4 n ∣ = - 95

∣ 5 - 3 x ∣ + 9 = 13 x + 8

x^{2} - 81 = 0

∣ 2 x - 4 ∣ = 4 x - 8

∣ x + 8 ∣ = 6

What is the answer to -4|w-16|+9=-39 ?
The answer to -4|w-16|+9=-39 is w=4\lor w=28
Solve for w: -4|w-16|+9=-39
The solution is w=4\lor w=28