To solve the equation 82.78( p + 11.892 ) = 72.8464 for p, we can start by isolating p on one side of the equation.
82.78( p + 11.892 ) = 72.8464
First, we can divide both sides of the equation by 82.78 to remove it from the left side:
( p + 11.892 ) = 72.8464 / 82.78
Simplifying the right side gives:
( p + 11.892 ) ≈ 0.8793
Next, we can subtract 11.892 from both sides of the equation to isolate p:
p ≈ 0.8793 - 11.892
Simplifying further:
p ≈ -11.0127
Therefore, the solution to the equation is approximately p = -11.0127 without rounding.