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

To solve for p in the equation 82.78(p+11.892)=72.8464, we will first distribute the 82.78 to (p+11.892):

82.78(p+11.892) = 72.8464

82.78p + 82.78(11.892) = 72.8464

Next, we will simplify the equation by multiplying the values:

82.78p + 982.06376 = 72.8464

Now, we will isolate the variable p by subtracting 982.06376 from both sides of the equation:

82.78p + 982.06376 - 982.06376 = 72.8464 - 982.06376

82.78p = -909.21736

Finally, we will divide both sides of the equation by 82.78 to solve for p:

(82.78p)/82.78 = (-909.21736)/82.78

p = -10.9853

Therefore, the solution to the given equation when solving for p is p = -10.9853.