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\frac{20\left(t+1\right)}{t+1}-\frac{6}{t+1}
To add or subtract expressions, expand them to make their denominators the same. Multiply 20 times \frac{t+1}{t+1}.
\frac{20\left(t+1\right)-6}{t+1}
Since \frac{20\left(t+1\right)}{t+1} and \frac{6}{t+1} have the same denominator, subtract them by subtracting their numerators.
\frac{20t+20-6}{t+1}
Do the multiplications in 20\left(t+1\right)-6.
\frac{20t+14}{t+1}
Combine like terms in 20t+20-6.