What is the answer to -6|-8a+3|-9=-72 ?

The answer to -6|-8a+3|-9=-72 is a=-15/16 \lor a= 27/16

Solve for a: -6|-8a+3|-9=-72

The solution is a=-15/16 \lor a= 27/16

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- 6 ∣ - 8 a + 3 ∣ - 9 = - 72

a = - \frac{15}{16} or a = \frac{27}{16}

Decimal Notation

a = - 0.9375, a = 1.6875

Solution steps

- 6 ∣ - 8 a + 3 ∣ - 9 = - 72

Move

9

to the right side

- 6 ∣ - 8 a + 3 ∣ = - 63

Divide both sides by

- 6

∣ - 8 a + 3 ∣ = \frac{21}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 8 a + 3 = - \frac{21}{2} or - 8 a + 3 = \frac{21}{2}

- 8 a + 3 = - \frac{21}{2} or - 8 a + 3 = \frac{21}{2}

a = - \frac{15}{16} or a = \frac{27}{16}

∣ 6 v ∣ - 16 = 32

∣ 4 - 5 x ∣ + 3 = 44

- 32 = 8 ∣ n ∣

19 = ∣ r - 1 ∣

∣ z ∣ - 3 = - 15

What is the answer to -6|-8a+3|-9=-72 ?
The answer to -6|-8a+3|-9=-72 is a=-15/16 \lor a= 27/16
Solve for a: -6|-8a+3|-9=-72
The solution is a=-15/16 \lor a= 27/16