What is the answer to 10|3+2n|+6=56 ?

The answer to 10|3+2n|+6=56 is n=-4\lor n=1

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10|3+2n|+6=56

10 ∣ 3 + 2 n ∣ + 6 = 56

n = - 4 or n = 1

Solution steps

10 ∣ 3 + 2 n ∣ + 6 = 56

Move

6

to the right side

10 ∣ 3 + 2 n ∣ = 50

Divide both sides by

10

∣ 3 + 2 n ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 + 2 n = - 5 or 3 + 2 n = 5

3 + 2 n = - 5 or 3 + 2 n = 5

n = - 4 or n = 1

∣ - 10 m ∣ = 100

8 ∣ 4 x - 5 ∣ + 9 = 100

1 = ∣ t ∣ - 9

∣ 2 x + 1 ∣ + 2 = 4

2 ∣ 8 v - 1 ∣ = - 10

What is the answer to 10|3+2n|+6=56 ?
The answer to 10|3+2n|+6=56 is n=-4\lor n=1
Solve for n: 10|3+2n|+6=56
The solution is n=-4\lor n=1