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50=100+6n-6
Use the distributive property to multiply n-1 by 6.
50=94+6n
Subtract 6 from 100 to get 94.
94+6n=50
Swap sides so that all variable terms are on the left hand side.
6n=50-94
Subtract 94 from both sides.
6n=-44
Subtract 94 from 50 to get -44.
n=\frac{-44}{6}
Divide both sides by 6.
n=-\frac{22}{3}
Reduce the fraction \frac{-44}{6} to lowest terms by extracting and canceling out 2.