What is the answer to -5+|10-7v|=-5 ?

The answer to -5+|10-7v|=-5 is v= 10/7

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-5+|10-7v|=-5

- 5 + ∣ 10 - 7 v ∣ = - 5

v = \frac{10}{7}

Decimal Notation

v = 1.42857 \dots

Solution steps

- 5 + ∣ 10 - 7 v ∣ = - 5

Add

5

to both sides

- 5 + ∣ 10 - 7 v ∣ + 5 = - 5 + 5

Simplify

∣ 10 - 7 v ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

10 - 7 v = 0

10 - 7 v = 0 : v = \frac{10}{7}

v = \frac{10}{7}

x^{2} + 11 x = - 28

∣ x + 3 ∣ + ∣ x - 2 ∣ - ∣ x - 1 ∣ \leq 4

\frac{8}{9 x} + 5 < - 3

x^{3} - 3 x^{2} - 6 x + 8

b x + b z + 6 x + 6 z