What is the answer to -3|-5-3r|=-7 ?

The answer to -3|-5-3r|=-7 is r=-22/9 \lor r=-8/9

Solve for r: -3|-5-3r|=-7

The solution is r=-22/9 \lor r=-8/9

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- 3 ∣ - 5 - 3 r ∣ = - 7

r = - \frac{22}{9} or r = - \frac{8}{9}

Decimal

r = - 2.44444 \dots, r = - 0.88888 \dots

Solution steps

- 3 ∣ - 5 - 3 r ∣ = - 7

Divide both sides by

- 3

∣ - 5 - 3 r ∣ = \frac{7}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 5 - 3 r = - \frac{7}{3} or - 5 - 3 r = \frac{7}{3}

- 5 - 3 r = - \frac{7}{3} or - 5 - 3 r = \frac{7}{3}

r = - \frac{22}{9} or r = - \frac{8}{9}

∣ x + 7 ∣ = 13

∣ 6 x - 5 ∣ - 11 = - 8

∣ x + 7 ∣ = - 1

∣ 6 x - 3 ∣ = 5

\frac{2}{3} x - 6 = 2

What is the answer to -3|-5-3r|=-7 ?
The answer to -3|-5-3r|=-7 is r=-22/9 \lor r=-8/9
Solve for r: -3|-5-3r|=-7
The solution is r=-22/9 \lor r=-8/9