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\frac{5}{24}n+45=85
Swap sides so that all variable terms are on the left hand side.
\frac{5}{24}n=85-45
Subtract 45 from both sides.
\frac{5}{24}n=40
Subtract 45 from 85 to get 40.
n=40\times \frac{24}{5}
Multiply both sides by \frac{24}{5}, the reciprocal of \frac{5}{24}.
n=\frac{40\times 24}{5}
Express 40\times \frac{24}{5} as a single fraction.
n=\frac{960}{5}
Multiply 40 and 24 to get 960.
n=192
Divide 960 by 5 to get 192.