What is the answer to 7=|4g-1|-1 ?

The answer to 7=|4g-1|-1 is g=-7/4 \lor g= 9/4

Solve for g: 7=|4g-1|-1

The solution is g=-7/4 \lor g= 9/4

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7 = ∣ 4 g - 1 ∣ - 1

g = - \frac{7}{4} or g = \frac{9}{4}

Decimal Notation

g = - 1.75, g = 2.25

Solution steps

7 = ∣ 4 g - 1 ∣ - 1

Switch sides

∣ 4 g - 1 ∣ - 1 = 7

Move

1

to the right side

∣ 4 g - 1 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 g - 1 = - 8 or 4 g - 1 = 8

4 g - 1 = - 8 or 4 g - 1 = 8

g = - \frac{7}{4} or g = \frac{9}{4}

- 4 ∣ 8 - 5 z ∣ = 13

\frac{∣ - 9 x ∣}{6} = 4

∣ 2 t + 7 ∣ = 5

\frac{x}{7} + 4 = 5

∣ 900 - 5 u ∣ = 200

What is the answer to 7=|4g-1|-1 ?
The answer to 7=|4g-1|-1 is g=-7/4 \lor g= 9/4
Solve for g: 7=|4g-1|-1
The solution is g=-7/4 \lor g= 9/4