What is the answer to |2v+9|=4v-3 ?

The answer to |2v+9|=4v-3 is v=6

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|2v+9|=4v-3

∣ 2 v + 9 ∣ = 4 v - 3

v = 6

Solution steps

∣ 2 v + 9 ∣ = 4 v - 3

Find positive and negative intervals

v < - \frac{9}{2}, v \geq - \frac{9}{2}

Solve the inequality for each interval

No Solution or v = 6

v = 6

∣ b + 3 ∣ = 0

\frac{k}{3} - 4 + 7 = 7

- ∣ x + 5 ∣ = 6

∣ b + 3 ∣ = 5

∣ b + 3 ∣ = 8