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\frac{2\left(7d+2\right)}{8d}+\frac{2d-5}{8d}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4d and 8d is 8d. Multiply \frac{7d+2}{4d} times \frac{2}{2}.
\frac{2\left(7d+2\right)+2d-5}{8d}
Since \frac{2\left(7d+2\right)}{8d} and \frac{2d-5}{8d} have the same denominator, add them by adding their numerators.
\frac{14d+4+2d-5}{8d}
Do the multiplications in 2\left(7d+2\right)+2d-5.
\frac{16d-1}{8d}
Combine like terms in 14d+4+2d-5.
\frac{2\left(7d+2\right)}{8d}+\frac{2d-5}{8d}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4d and 8d is 8d. Multiply \frac{7d+2}{4d} times \frac{2}{2}.
\frac{2\left(7d+2\right)+2d-5}{8d}
Since \frac{2\left(7d+2\right)}{8d} and \frac{2d-5}{8d} have the same denominator, add them by adding their numerators.
\frac{14d+4+2d-5}{8d}
Do the multiplications in 2\left(7d+2\right)+2d-5.
\frac{16d-1}{8d}
Combine like terms in 14d+4+2d-5.