What is the answer to -16=-3|4q+7|-1 ?

The answer to -16=-3|4q+7|-1 is q=-3\lor q=-1/2

Solve for q: -16=-3|4q+7|-1

The solution is q=-3\lor q=-1/2

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- 16 = - 3 ∣ 4 q + 7 ∣ - 1

q = - 3 or q = - \frac{1}{2}

Decimal Notation

q = - 3, q = - 0.5

Solution steps

- 16 = - 3 ∣ 4 q + 7 ∣ - 1

Switch sides

- 3 ∣ 4 q + 7 ∣ - 1 = - 16

Move

1

to the right side

- 3 ∣ 4 q + 7 ∣ = - 15

Divide both sides by

- 3

∣ 4 q + 7 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 q + 7 = - 5 or 4 q + 7 = 5

4 q + 7 = - 5 or 4 q + 7 = 5

q = - 3 or q = - \frac{1}{2}

\frac{2 x - 6}{2} = 6

- 8 ∣ q - 5 ∣ = 8

∣ 2 x - 34 ∣ = 0

A (x) = ∣ 4 - 3 x ∣

6 = 7 + ∣ 8 y - 2 ∣

What is the answer to -16=-3|4q+7|-1 ?
The answer to -16=-3|4q+7|-1 is q=-3\lor q=-1/2
Solve for q: -16=-3|4q+7|-1
The solution is q=-3\lor q=-1/2