What is the solution of the equation 82.78 ( p + 11.892) = 72.8464 when solving for p? Do not round your answer.

Answer 1

To solve the equation, we can begin by simplifying the left side:

82.78(p + 11.892) = 72.8464

Multiplying 82.78 by both terms inside the parentheses:

82.78p + (82.78 * 11.892) = 72.8464

We can simplify the multiplication in the parentheses:

82.78p + 981.63336 = 72.8464

Next, let's isolate 82.78p by subtracting 981.63336 from both sides:

82.78p = 72.8464 - 981.63336

82.78p = -908.78696

Finally, we can solve for p by dividing both sides by 82.78:

p = (-908.78696) / 82.78

The solution for p is approximately -10.96925.