What is the answer to |a-6|=7a-1 ?

The answer to |a-6|=7a-1 is a= 7/8

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|a-6|=7a-1

∣ a - 6 ∣ = 7 a - 1

a = \frac{7}{8}

Decimal Notation

a = 0.875

Solution steps

∣ a - 6 ∣ = 7 a - 1

Find positive and negative intervals

a < 6, a \geq 6

Solve the inequality for each interval

a = \frac{7}{8} or No Solution

a = \frac{7}{8}

- 4 ∣ 8 - 5 m ∣ = 13

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∣ 6 w - 15 ∣ = 3 w - 21

∣ 3 m - 4 ∣ = - 12

7 ∣ 10 x - 2 ∣ - 9 = 5