What is the answer to |a-7+6a|-6=22 ?

The answer to |a-7+6a|-6=22 is a=-3\lor a=5

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|a-7+6a|-6=22

∣ a - 7 + 6 a ∣ - 6 = 22

a = - 3 or a = 5

Solution steps

∣ a - 7 + 6 a ∣ - 6 = 22

Move

6

to the right side

∣ a - 7 + 6 a ∣ = 28

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

a - 7 + 6 a = - 28 or a - 7 + 6 a = 28

a - 7 + 6 a = - 28 or a - 7 + 6 a = 28

a = - 3 or a = 5

∣ - 10 x ∣ + 5 = 65

∣ 6 x + 7 ∣ = 5 x + 2

3 ∣ 6 x + 12 ∣ + 12 = 40

∣ x - 3 ∣ - 4 = 0

∣ 3 x - 2 ∣ = 16

What is the answer to |a-7+6a|-6=22 ?
The answer to |a-7+6a|-6=22 is a=-3\lor a=5
Solve for a: |a-7+6a|-6=22
The solution is a=-3\lor a=5