What is the answer to -9|-3r+1|-7=-52 ?

The answer to -9|-3r+1|-7=-52 is r=-4/3 \lor r=2

Solve for r: -9|-3r+1|-7=-52

The solution is r=-4/3 \lor r=2

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- 9 ∣ - 3 r + 1 ∣ - 7 = - 52

r = - \frac{4}{3} or r = 2

Decimal Notation

r = - 1.33333 \dots, r = 2

Solution steps

- 9 ∣ - 3 r + 1 ∣ - 7 = - 52

Move

7

to the right side

- 9 ∣ - 3 r + 1 ∣ = - 45

Divide both sides by

- 9

∣ - 3 r + 1 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 3 r + 1 = - 5 or - 3 r + 1 = 5

- 3 r + 1 = - 5 or - 3 r + 1 = 5

r = - \frac{4}{3} or r = 2

- ∣ x + 10 ∣ = 0

2 \cdot ∣ 4 - x ∣ = - 3 x

4 ∣ 5 k - 10 ∣ - 5 = 115

7 ∣ - 6 v ∣ = - 42

6 \frac{x}{9} - 9 = - 3

What is the answer to -9|-3r+1|-7=-52 ?
The answer to -9|-3r+1|-7=-52 is r=-4/3 \lor r=2
Solve for r: -9|-3r+1|-7=-52
The solution is r=-4/3 \lor r=2