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

Answer 1

To solve the equation 82.78(p+11.892) = 72.8464, we first distribute the 82.78 to both terms inside the parentheses:

82.78p + 82.78(11.892) = 72.8464

Next, we simplify by multiplying:

82.78p + 982.17336 = 72.8464

Since we want to solve for p, we isolate the variable by subtracting 982.17336 from both sides of the equation:

82.78p = 72.8464 - 982.17336

82.78p = -909.32696

Finally, to find p, we divide both sides of the equation by 82.78:

p = (-909.32696) / 82.78

Therefore, the solution for p when solving the equation is approximately -10.9721.