What is the answer to |-4-7n|=45 ?

The answer to |-4-7n|=45 is n=-7\lor n= 41/7

Solve for n: |-4-7n|=45

The solution is n=-7\lor n= 41/7

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∣ - 4 - 7 n ∣ = 45

n = - 7 or n = \frac{41}{7}

Decimal Notation

n = - 7, n = 5.85714 \dots

Solution steps

∣ - 4 - 7 n ∣ = 45

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 4 - 7 n = - 45 or - 4 - 7 n = 45

- 4 - 7 n = - 45 or - 4 - 7 n = 45

n = - 7 or n = \frac{41}{7}

- 5 ∣ 4 + 5 x ∣ + 3 = 13

- 6 ∣ n ∣ = 0

∣ 3 x + 4 ∣ + 8 = 7

∣ 3 - 3 t ∣ + 5 = 14

∣ 3 - 3 t ∣ + 5 = 20