Creating Blackberry Cheesecake Brownies is easy if you follow these steps:

1. Preheat the Oven: Preheat your oven to 350°F (175°C). Grease and line a 9×13 inch baking pan with parchment paper, leaving some overhang for easy removal.
2. Make the Brownie Batter: In a large mixing bowl, combine melted butter and granulated sugar. Mix well until smooth.
3. Add Eggs and Vanilla: Beat in the eggs, one at a time, followed by the vanilla extract until fully incorporated.
4. Combine Dry Ingredients: In a separate bowl, whisk together flour, cocoa powder, and salt. Gradually add the dry mixture to the wet ingredients, stirring until just combined.
5. Spread the Brownie Batter: Pour the brownie batter into the prepared baking pan, spreading it evenly.
6. Prepare the Cheesecake Mixture: In another bowl, beat softened cream cheese and granulated sugar until smooth. Add eggs and vanilla extract, mixing until well blended.
7. Add Blackberries: Gently fold in the fresh blackberries into the cheesecake mixture.
8. Layer the Cheesecake: Pour the cheesecake mixture over the brownie layer in the baking pan, spreading it evenly.
9. Bake: Place the pan in the preheated oven and bake for 35-40 minutes or until the cheesecake is set and the edges are lightly golden.
10. Cool: Remove from the oven and allow the brownies to cool in the pan for about 30 minutes. Then, transfer to the refrigerator to chill completely.
11. Slice and Serve: Once chilled, lift the brownies out using the parchment overhang and slice them into squares.

These steps will guide you to create the most incredible Blackberry Cheesecake Brownies!