82.78(p + 11.892) = 72.8464. The answer is -11.012

Answer 1

To solve the equation, let's start by simplifying both sides:

82.78(p + 11.892) = 72.8464

Distribute 82.78 to both terms inside the parentheses:

82.78p + (82.78 * 11.892) = 72.8464

82.78p + 979.3036 = 72.8464

Now, subtract 979.3036 from both sides:

82.78p = 72.8464 - 979.3036

82.78p = -906.4572

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

p = (-906.4572) / 82.78

p ≈ -11.012

So the answer is p = -11.012.