What is the answer to 6-3|2r+1|=-39 ?

The answer to 6-3|2r+1|=-39 is r=-8\lor r=7

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6-3|2r+1|=-39

6 - 3 ∣ 2 r + 1 ∣ = - 39

r = - 8 or r = 7

Solution steps

6 - 3 ∣ 2 r + 1 ∣ = - 39

Move

6

to the right side

- 3 ∣ 2 r + 1 ∣ = - 45

Divide both sides by

- 3

∣ 2 r + 1 ∣ = 15

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 r + 1 = - 15 or 2 r + 1 = 15

2 r + 1 = - 15 or 2 r + 1 = 15

r = - 8 or r = 7

3 ∣ q ∣ = 0

∣ 6 v ∣ - 5 = - 5

∣ x + 5 ∣ - 10 = 3

∣ 2 y + 3 ∣ = 5

∣ 4 a + 11 ∣ = - 2

What is the answer to 6-3|2r+1|=-39 ?
The answer to 6-3|2r+1|=-39 is r=-8\lor r=7
Solve for r: 6-3|2r+1|=-39
The solution is r=-8\lor r=7