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

Question

p = ___

Answer 1

To solve for p, we need to isolate p on one side of the equation.

First, we can distribute 82.78 to both terms inside the parentheses:
82.78p + 82.78(11.892) = 72.8464

Next, we can simplify the right side of the equation by multiplying:
82.78p + 984.22896 = 72.8464

To isolate p, we can subtract 984.22896 from both sides of the equation:
82.78p = 72.8464 - 984.22896

Now, let's combine the terms on the right side:
82.78p = -911.38256

Finally, we can solve for p by dividing both sides of the equation by 82.78:
p = -911.38256 / 82.78

Therefore, p ≈ -10.997