1. **State the problem:** We have a parallelogram DSOG with sides DO and OG labeled as expressions in terms of $p$: DO = $2p + 9$ and OG = $3p - 6$. 2. **Recall properties of parallelograms:** Opposite sides of a parallelogram are equal in length. Therefore, DO = SG and OG = DS. 3. **Set up the equality for opposite sides:** Since DO and SG are opposite sides, DO = SG. Similarly, OG = DS. 4. **Find the value of $p$ if the parallelogram is valid:** The problem does not provide explicit values for DS or SG, so we assume the expressions represent the lengths of the sides. To find $p$, we can equate the expressions for the sides that must be equal. 5. **Equate the expressions for the sides:** Since DO and SG are equal, and OG and DS are equal, the expressions $2p + 9$ and $3p - 6$ represent the lengths of adjacent sides, so no direct equality is implied between them. 6. **If the problem asks to find $p$ such that the parallelogram is valid, we need more information.** Since no further information is given, the expressions $2p + 9$ and $3p - 6$ represent the lengths of adjacent sides of the parallelogram. **Final answer:** The lengths of the sides are $2p + 9$ and $3p - 6$ respectively, representing the sides DO (and SG) and OG (and DS) of the parallelogram. If you want to find $p$ for specific side lengths or other conditions, please provide more details.