What is the answer to -3|2w-9|+11=-4 ?

The answer to -3|2w-9|+11=-4 is w=2\lor w=7

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-3|2w-9|+11=-4

- 3 ∣ 2 w - 9 ∣ + 11 = - 4

w = 2 or w = 7

Solution steps

- 3 ∣ 2 w - 9 ∣ + 11 = - 4

Move

11

to the right side

- 3 ∣ 2 w - 9 ∣ = - 15

Divide both sides by

- 3

∣ 2 w - 9 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 w - 9 = - 5 or 2 w - 9 = 5

2 w - 9 = - 5 or 2 w - 9 = 5

w = 2 or w = 7

∣ 5 a + 4 ∣ = ∣ 6 a - 2 ∣

4 ∣ 2 x - 4 ∣ = 40

6 ∣ 2 x - 8 ∣ - 14 = 4

3.5 = 1.9 - 0.8 ∣ 2 x - 0.6 ∣

x, f = 9 ∣ x - 1 ∣ + 12 + 7 k

What is the answer to -3|2w-9|+11=-4 ?
The answer to -3|2w-9|+11=-4 is w=2\lor w=7
Solve for w: -3|2w-9|+11=-4
The solution is w=2\lor w=7