A system undergoes the following two thermodynamic processes.

Process A$)$ This process involves the transfer of $7\mathrm{.}8$ J of energy as heat from the system to the surroundings. At the same time, the sytem performs $2\mathrm{.}7$ J of work on the surroundings.

Process B$)$ This process involves the transfer of $9\mathrm{.}8$ J of energy as heat from the system to the surroundings. The initial and final states for process B are the same as the initial and final states for process A$.$

What is the internal energy change for process B$?$

Give your answer in J$.$