What is the answer to -8=7|6w-300|-8 ?

The answer to -8=7|6w-300|-8 is w=50

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-8=7|6w-300|-8

- 8 = 7 ∣ 6 w - 300 ∣ - 8

w = 50

Solution steps

- 8 = 7 ∣ 6 w - 300 ∣ - 8

Add

8

to both sides

- 8 + 8 = 7 ∣ 6 w - 300 ∣ - 8 + 8

Simplify

0 = 7 ∣ 6 w - 300 ∣

Switch sides

7 ∣ 6 w - 300 ∣ = 0

Divide both sides by

7

∣ 6 w - 300 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

6 w - 300 = 0

6 w - 300 = 0 : w = 50

w = 50

∣ 3 x - 4 ∣ = - 4 x - 1

∣ 5 x - 3 ∣ + 3 = 3

- 8 = - 2 ∣ p + 3 ∣

\frac{3 x + 8}{8} = 1

∣ 6 x ∣ = x^{2} - 7