To solve the inequality \( 9v - 305v - 6 \), we first combine like terms.
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Combine the coefficients of \( v \): \[ 9v - 305v = -296v \]
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This simplifies the inequality to: \[ -296v - 6 < 0 \] (assuming this is meant to be less than zero)
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Next, we want to isolate \( v \). First, add 6 to both sides: \[ -296v < 6 \]
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Now, divide both sides by -296. Remember, dividing by a negative number reverses the inequality sign: \[ v > \frac{6}{-296} \]
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Simplify \( \frac{6}{-296} \): \[ \frac{6}{-296} = \frac{3}{-148} = -\frac{3}{148} \]
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Thus, the final simplified solution to the inequality is: \[ v > -\frac{3}{148} \]
In conclusion, \( v > -\frac{3}{148} \).