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

The answer to 3=3-|8a-6| is a= 3/4

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3=3-|8a-6|

3 = 3 - ∣ 8 a - 6 ∣

a = \frac{3}{4}

Decimal Notation

a = 0.75

Solution steps

3 = 3 - ∣ 8 a - 6 ∣

Subtract

3

from both sides

3 - 3 = 3 - ∣ 8 a - 6 ∣ - 3

Simplify

0 = - ∣ 8 a - 6 ∣

Move

∣ 8 a - 6 ∣

to the left side

∣ 8 a - 6 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

8 a - 6 = 0

8 a - 6 = 0 : a = \frac{3}{4}

a = \frac{3}{4}

\frac{x}{8} = 3

2 ∣ 2 h + 2 ∣ - 7 = 5

∣ x - 7 ∣ = 20

∣ 10 + 8 p ∣ = 90

2 ∣ x - 3 ∣ + x = 4 x - 4