What is the answer to |4n+5|-6=-1 ?

The answer to |4n+5|-6=-1 is n=-5/2 \lor n=0

Solve for n: |4n+5|-6=-1

The solution is n=-5/2 \lor n=0

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∣ 4 n + 5 ∣ - 6 = - 1

n = - \frac{5}{2} or n = 0

Decimal Notation

n = - 2.5, n = 0

Solution steps

∣ 4 n + 5 ∣ - 6 = - 1

Move

6

to the right side

∣ 4 n + 5 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 n + 5 = - 5 or 4 n + 5 = 5

4 n + 5 = - 5 or 4 n + 5 = 5

n = - \frac{5}{2} or n = 0

∣ 3 - 3 x ∣ - x = 2, 6

∣ 3 x + 1 ∣ - 1 = 4 x

∣ x - 4 ∣ = 5 x + 12

∣ 6 x + 3 ∣ = 9

5 ∣ n + 10 ∣ = 10

What is the answer to |4n+5|-6=-1 ?
The answer to |4n+5|-6=-1 is n=-5/2 \lor n=0
Solve for n: |4n+5|-6=-1
The solution is n=-5/2 \lor n=0