What is the answer to 6=|g|-6 ?

The answer to 6=|g|-6 is g=-12\lor g=12

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6=|g|-6

6 = ∣ g ∣ - 6

g = - 12 or g = 12

Solution steps

6 = ∣ g ∣ - 6

Switch sides

∣ g ∣ - 6 = 6

Move

6

to the right side

∣ g ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

g = - 12 or g = 12

\frac{x}{2} - 3 = 3

∣ x ∣ = 3 x - 4

∣ a - 4 ∣ = - 4

∣ n - 1 ∣ = 7

∣ n - 1 ∣ = 3