To solve for \( v \) in the equation \( x = -\frac{1}{y} vw \), we need to isolate \( v \).
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Start with the equation: \[ x = -\frac{1}{y} vw \]
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Multiply both sides by \( -y \) to eliminate the fraction: \[ -yx = vw \]
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Now, divide both sides by \( w \) to isolate \( v \): \[ v = -\frac{yx}{w} \]
So, the final expression for \( v \) in terms of \( w \), \( x \), and \( y \) is: \[ v = -\frac{yx}{w} \]