What is the answer to (|3-6w|)/5-16=-7 ?

The answer to (|3-6w|)/5-16=-7 is w=-7\lor w=8

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(|3-6w|)/5-16=-7

\frac{∣ 3 - 6 w ∣}{5} - 16 = - 7

w = - 7 or w = 8

Solution steps

\frac{∣ 3 - 6 w ∣}{5} - 16 = - 7

Move

16

to the right side

\frac{∣ 3 - 6 w ∣}{5} = 9

Multiply both sides by

5

∣ 3 - 6 w ∣ = 45

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 - 6 w = - 45 or 3 - 6 w = 45

3 - 6 w = - 45 or 3 - 6 w = 45

w = - 7 or w = 8

u, ∣ 4 u + 8 ∣ - 7 = - 43

∣ 2 x - 1 ∣ = 2 ∣ 3 - x ∣

4 x + \frac{1}{3} = 20

∣ z - 1 ∣ + ∣ 2 - z ∣ = 12

∣ 3 x + 5 ∣ = - 10

What is the answer to (|3-6w|)/5-16=-7 ?
The answer to (|3-6w|)/5-16=-7 is w=-7\lor w=8
Solve for w: (|3-6w|)/5-16=-7
The solution is w=-7\lor w=8