What is the answer to -4|5v+7|+7=-101 ?

The answer to -4|5v+7|+7=-101 is v=-34/5 \lor v=4

Solve for v: -4|5v+7|+7=-101

The solution is v=-34/5 \lor v=4

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- 4 ∣ 5 v + 7 ∣ + 7 = - 101

v = - \frac{34}{5} or v = 4

Decimal Notation

v = - 6.8, v = 4

Solution steps

- 4 ∣ 5 v + 7 ∣ + 7 = - 101

Move

7

to the right side

- 4 ∣ 5 v + 7 ∣ = - 108

Divide both sides by

- 4

∣ 5 v + 7 ∣ = 27

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 v + 7 = - 27 or 5 v + 7 = 27

5 v + 7 = - 27 or 5 v + 7 = 27

v = - \frac{34}{5} or v = 4

∣ 6 x + 4 ∣ + 13 = 12

- 10 ∣ 3 v + 6 ∣ + 5 = - 85

- 4 ∣ b ∣ = 0

5 x - 2 ∣ 7 + 2 x ∣ = 6 + 3 x

∣ 4 x - 5 ∣ = - 9

What is the answer to -4|5v+7|+7=-101 ?
The answer to -4|5v+7|+7=-101 is v=-34/5 \lor v=4
Solve for v: -4|5v+7|+7=-101
The solution is v=-34/5 \lor v=4