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41.9-3v=3.5
Swap sides so that all variable terms are on the left hand side.
-3v=3.5-41.9
Subtract 41.9 from both sides.
-3v=-38.4
Subtract 41.9 from 3.5 to get -38.4.
v=\frac{-38.4}{-3}
Divide both sides by -3.
v=\frac{-384}{-30}
Expand \frac{-38.4}{-3} by multiplying both numerator and the denominator by 10.
v=\frac{64}{5}
Reduce the fraction \frac{-384}{-30} to lowest terms by extracting and canceling out -6.