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6\times \frac{5}{2}=n-1
Multiply both sides by \frac{5}{2}, the reciprocal of \frac{2}{5}.
\frac{6\times 5}{2}=n-1
Express 6\times \frac{5}{2} as a single fraction.
\frac{30}{2}=n-1
Multiply 6 and 5 to get 30.
15=n-1
Divide 30 by 2 to get 15.
n-1=15
Swap sides so that all variable terms are on the left hand side.
n=15+1
Add 1 to both sides.
n=16
Add 15 and 1 to get 16.