What is the answer to |v-95|+7=12 ?

The answer to |v-95|+7=12 is v=90\lor v=100

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|v-95|+7=12

∣ v - 95 ∣ + 7 = 12

v = 90 or v = 100

Solution steps

∣ v - 95 ∣ + 7 = 12

Move

7

to the right side

∣ v - 95 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

v - 95 = - 5 or v - 95 = 5

v - 95 = - 5 or v - 95 = 5

v = 90 or v = 100

∣ q - 3 ∣ = 3

∣ x + 7 ∣ + 13 = 4

∣ - 4 - x ∣ = 7

2 = ∣ 8 p - 10 ∣

∣ x - 4 ∣ = \frac{3}{2}