What is the solution of 82.78 (p+11.892)=72.8464 when solving for p? Do not round your answer.
To solve for p, we need to isolate the variable. So we'll start by distributing 82.78 to p and 11.892:
82.78(p + 11.892) = 72.8464
Multiply each term inside the parentheses by 82.78:
82.78p + 82.78(11.892) = 72.8464
Now simplify the expression inside the parentheses:
82.78p + 982.36896 = 72.8464
Next, subtract 982.36896 from both sides of the equation:
82.78p = 72.8464 - 982.36896
Combining like terms:
82.78p = -909.52256
Finally, divide both sides of the equation by 82.78 to solve for p:
p = (-909.52256) / (82.78)
The solution is p = -10.9766422523463