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\frac{8\left(w+9\right)}{10}+\frac{w+7}{10}
Express 8\times \frac{w+9}{10} as a single fraction.
\frac{8\left(w+9\right)+w+7}{10}
Since \frac{8\left(w+9\right)}{10} and \frac{w+7}{10} have the same denominator, add them by adding their numerators.
\frac{8w+72+w+7}{10}
Do the multiplications in 8\left(w+9\right)+w+7.
\frac{9w+79}{10}
Combine like terms in 8w+72+w+7.
\frac{8\left(w+9\right)}{10}+\frac{w+7}{10}
Express 8\times \frac{w+9}{10} as a single fraction.
\frac{8\left(w+9\right)+w+7}{10}
Since \frac{8\left(w+9\right)}{10} and \frac{w+7}{10} have the same denominator, add them by adding their numerators.
\frac{8w+72+w+7}{10}
Do the multiplications in 8\left(w+9\right)+w+7.
\frac{9w+79}{10}
Combine like terms in 8w+72+w+7.