What is the answer to -9+|6+n|=4 ?

The answer to -9+|6+n|=4 is n=-19\lor n=7

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-9+|6+n|=4

- 9 + ∣ 6 + n ∣ = 4

n = - 19 or n = 7

Solution steps

- 9 + ∣ 6 + n ∣ = 4

Move

9

to the right side

∣ 6 + n ∣ = 13

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 + n = - 13 or 6 + n = 13

6 + n = - 13 or 6 + n = 13

n = - 19 or n = 7

∣ 2 x - 1 ∣ - 10 = 3

∣ - 6 n - 5 ∣ = 41

∣ 2 r + 5 ∣ = ∣ 7 r - 32 ∣

∣ 2 x + 3 ∣ = 17

∣ 1 - 3 x ∣ = ∣ 4 x + 5 ∣