What is the answer to |8+10k|=38 ?

The answer to |8+10k|=38 is k=-23/5 \lor k=3

Solve for k: |8+10k|=38

The solution is k=-23/5 \lor k=3

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∣ 8 + 10 k ∣ = 38

k = - \frac{23}{5} or k = 3

Decimal

k = - 4.6, k = 3

Solution steps

∣ 8 + 10 k ∣ = 38

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 + 10 k = - 38 or 8 + 10 k = 38

8 + 10 k = - 38 or 8 + 10 k = 38

k = - \frac{23}{5} or k = 3

\frac{2}{7} ∣ - x - 3 ∣ - 10 = - 8

- 6 ∣ - 2 - 4 n ∣ + 6 = - 54

∣ w ∣ = 5

∣ 3 k - 2 ∣ = 2 ∣ k + 2 ∣

4 ∣ x - 8 ∣ = 36