What is the solution of 82.78(p+11.892)=72.8464 when solving for p ?(1 point)

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

82.78(p + 11.892) = 72.8464

First, distribute 82.78 to the terms inside the parentheses:

82.78p + 82.78(11.892) = 72.8464

Next, simplify the right side:

82.78p + 996.77136 = 72.8464

Subtract 996.77136 from both sides of the equation:

82.78p = 72.8464 - 996.77136

82.78p = -923.92496

Finally, divide both sides of the equation by 82.78:

p = -923.92496 / 82.78

p ≈ -11.14

So, the solution to the equation is p ≈ -11.14.