What is the answer to 5|-2n-5|+9=44 ?

The answer to 5|-2n-5|+9=44 is n=-6\lor n=1

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5|-2n-5|+9=44

5 ∣ - 2 n - 5 ∣ + 9 = 44

n = - 6 or n = 1

Solution steps

5 ∣ - 2 n - 5 ∣ + 9 = 44

Move

9

to the right side

5 ∣ - 2 n - 5 ∣ = 35

Divide both sides by

5

∣ - 2 n - 5 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 2 n - 5 = - 7 or - 2 n - 5 = 7

- 2 n - 5 = - 7 or - 2 n - 5 = 7

n = - 6 or n = 1

3 = ∣ n ∣

0 = - 7 ∣ p - 100 ∣

∣ a x + b ∣ = c x + d

7 - 8 ∣ - 6 x + 2 ∣ = 47

∣ x - 10 ∣ + 10 = 3 x^{3} x

What is the answer to 5|-2n-5|+9=44 ?
The answer to 5|-2n-5|+9=44 is n=-6\lor n=1
Solve for n: 5|-2n-5|+9=44
The solution is n=-6\lor n=1