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Multiple answers
Option A: \(\dfrac{1}{4}w = -2\) Divide 1/4 to both sides or multiply by its reciprocal, 4. \(w = -8\) Therefore, Option A has a negative solution.
Option B: \(-3 = \dfrac{x}{-7}\) Multiply -7 to both sides: \(x = 21\) Therefore, Option B does not have a negative solution.
Option C: \(6 = -\dfrac{y}{5}\) Multiply -5 to both sides: \(y = -30\) Therefore, Option C has a negative solution.
Option D: \(-\dfrac{2}{3}z = -8\) Divide -2/3 to both sides or multiply by its reciprocal 3/2. \(z = 12\) Therefore, Option D does not have a negative solution.
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