What is the answer to -3|r-4|-7=-222 ?

The answer to -3|r-4|-7=-222 is r=-203/3 \lor r= 227/3

Solve for r: -3|r-4|-7=-222

The solution is r=-203/3 \lor r= 227/3

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- 3 ∣ r - 4 ∣ - 7 = - 222

r = - \frac{203}{3} or r = \frac{227}{3}

Decimal Notation

r = - 67.66666 \dots, r = 75.66666 \dots

Solution steps

- 3 ∣ r - 4 ∣ - 7 = - 222

Move

7

to the right side

- 3 ∣ r - 4 ∣ = - 215

Divide both sides by

- 3

∣ r - 4 ∣ = \frac{215}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

r - 4 = - \frac{215}{3} or r - 4 = \frac{215}{3}

r - 4 = - \frac{215}{3} or r - 4 = \frac{215}{3}

r = - \frac{203}{3} or r = \frac{227}{3}

2 ∣ x - 1 ∣ + 5 = 3

3 ∣ 3 x - 10 ∣ = 24

∣ 6 + 5 x ∣ - 6 = - 5

A (x) = ∣ 7 - 2 x ∣

∣ 3 x + 2 ∣ - 3 = - 1

What is the answer to -3|r-4|-7=-222 ?
The answer to -3|r-4|-7=-222 is r=-203/3 \lor r= 227/3
Solve for r: -3|r-4|-7=-222
The solution is r=-203/3 \lor r= 227/3