What is the answer to -66=-|r|-5 ?

The answer to -66=-|r|-5 is r=-61\lor r=61

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-66=-|r|-5

- 66 = - ∣ r ∣ - 5

r = - 61 or r = 61

Solution steps

- 66 = - ∣ r ∣ - 5

Move

∣ r ∣

to the left side

- 66 + ∣ r ∣ = - 5

Move

66

to the right side

∣ r ∣ = 61

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

r = - 61 or r = 61

- 4 ∣ 6 u + 10 ∣ = 8

y = 68 - 31 ∣ y ∣

∣ 10 n - 2 ∣ + 6 = 5

1 = ∣ s + 7 ∣

2^{2} + 3 = ∣ 4 z + 5 ∣