To expand \( \frac{7}{10} (5d + 6) \), you distribute \( \frac{7}{10} \) to both terms inside the parentheses: \[ \frac{7}{10} (5d) + \frac{7}{10} (6) \] Now, calculate each term: 1. \( \frac{7}{10} \cdot 5d = \frac{35}{10}d = \frac{7}{2}d \) 2. \( \frac{7}{10} \cdot 6 = \frac{42}{10} = \frac{21}{5} \) Putting it all together, the expanded expression is: \[ \frac{7}{2}d + \frac{21}{5} \]