When solving for p in the equation 82.78(p + 11.892) = 72.8464, we can begin by simplifying the equation:
82.78(p + 11.892) = 72.8464
Multiplying both sides by the reciprocal of 82.78, which is 1 over 82.78, we get:
(p + 11.892) = 72.8464 / 82.78
Now, isolate p by subtracting 11.892 from both sides:
p = (72.8464 / 82.78) - 11.892