What is the answer to -4+|9+5r|=22 ?

The answer to -4+|9+5r|=22 is r=-7\lor r= 17/5

Solve for r: -4+|9+5r|=22

The solution is r=-7\lor r= 17/5

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- 4 + ∣ 9 + 5 r ∣ = 22

r = - 7 or r = \frac{17}{5}

Decimal Notation

r = - 7, r = 3.4

Solution steps

- 4 + ∣ 9 + 5 r ∣ = 22

Move

4

to the right side

∣ 9 + 5 r ∣ = 26

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

9 + 5 r = - 26 or 9 + 5 r = 26

9 + 5 r = - 26 or 9 + 5 r = 26

r = - 7 or r = \frac{17}{5}

14 = ∣ 7 u ∣

∣ 2 x + 5 ∣ = - 2

∣ 2 x + 5 ∣ = - 3

- 5 ∣ 6 x - 3 ∣ = 30

∣ 8 x - 29 ∣ = - 19

What is the answer to -4+|9+5r|=22 ?
The answer to -4+|9+5r|=22 is r=-7\lor r= 17/5
Solve for r: -4+|9+5r|=22
The solution is r=-7\lor r= 17/5