What is the solution of 82.78(p + 11.892) = 72.8464 when solving for p? Do not round your answer. (-
To solve the equation 82.78(p + 11.892) = 72.8464 for p, we will follow the steps below:
1. Distribute the 82.78 to the terms inside the parentheses:
82.78p + 82.78(11.892) = 72.8464
2. Simplify the expression inside the parentheses:
82.78p + 982.33976 = 72.8464
3. Subtract 982.33976 from both sides to isolate the term with p:
82.78p = 72.8464 - 982.33976
82.78p = -909.49336
4. Divide both sides of the equation by 82.78 to solve for p:
p = -909.49336 / 82.78
Thus, the solution for p is p = -10.98481725