What is the answer to 3|v-3|=9 ?

The answer to 3|v-3|=9 is v=0\lor v=6

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3|v-3|=9

3 ∣ v - 3 ∣ = 9

v = 0 or v = 6

Solution steps

3 ∣ v - 3 ∣ = 9

Divide both sides by

3

∣ v - 3 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

v - 3 = - 3 or v - 3 = 3

v - 3 = - 3 or v - 3 = 3

v = 0 or v = 6

∣ x + 4 ∣ = 3 ∣ x - 6 ∣

∣ 10 z ∣ = 0

y, 4 = ∣ y ∣ + x^{2}

2 ∣ x - 3 ∣ + x = 9

2 ∣ x ∣ + ∣ x - 1 ∣ = 4 x - 3