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 for p, we need to follow the order of operations and isolate the variable on one side of the equation.

First, distribute 82.78 to the terms inside the parentheses:

82.78(p + 11.892) = 72.8464
82.78p + 82.78 * 11.892 = 72.8464

Next, simplify the right side by multiplying:

82.78p + 982.26816 = 72.8464

Now, subtract 982.26816 from both sides to move the constant term to the right:

82.78p = 72.8464 - 982.26816
82.78p = -909.42176

Finally, divide both sides by 82.78 to solve for p:

p = (-909.42176) / 82.78

So the solution for p, when not rounding the answer, is:

p = -10.97278818234