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−4 |3v| = 24 solve for v

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To solve the equation −4 |3v| = 24 for v, we need to isolate v.

Let's break it down step by step:

1. Remove the absolute value by considering two cases:
a. Case 1: 3v ≥ 0
In this case, the absolute value can be removed, and the equation becomes:
-4(3v) = 24

b. Case 2: 3v < 0
In this case, the absolute value becomes its negation, and the equation becomes:
-4(-3v) = 24

2. Simplify each case:
a. Case 1: -4(3v) = 24
-12v = 24
Divide both sides by -12: v = 24 / -12
v = -2

b. Case 2: -4(-3v) = 24
12v = 24
Divide both sides by 12: v = 24 / 12
v = 2

Therefore, the solutions to the equation are v = -2 and v = 2.
User Knaser
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