What is the answer to |6+r|+10=14 ?

The answer to |6+r|+10=14 is r=-10\lor r=-2

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|6+r|+10=14

∣ 6 + r ∣ + 10 = 14

r = - 10 or r = - 2

Solution steps

∣ 6 + r ∣ + 10 = 14

Move

10

to the right side

∣ 6 + r ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 + r = - 4 or 6 + r = 4

6 + r = - 4 or 6 + r = 4

r = - 10 or r = - 2

∣ d ∣ = - 2

∣ c + 3 ∣ = 16

∣ g ∣ - 4 = - 1

∣ 2 b + 3 ∣ = 5

\frac{4 x + 6}{5} = 6