What is the answer to 4|v-2|=28 ?

The answer to 4|v-2|=28 is v=-5\lor v=9

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4|v-2|=28

4 ∣ v - 2 ∣ = 28

v = - 5 or v = 9

Solution steps

4 ∣ v - 2 ∣ = 28

Divide both sides by

4

∣ v - 2 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

v - 2 = - 7 or v - 2 = 7

v - 2 = - 7 or v - 2 = 7

v = - 5 or v = 9

∣ 6 x ∣ = ∣ 3 x - 9 ∣

\frac{x + 2}{5} = \frac{1}{5}

∣ 2 x - 3 ∣ = 4 x - 15

11 = x + ∣ 2 x - 1 ∣

5 x - 31 = ∣ x - 3 ∣