What is the solution of 82.78(p+11.892)=72.8464 when solving for p ? Do not round your answer. (1 point)

1 answer

To solve for p, we can follow these steps:

1. Begin by simplifying the equation by distributing 82.78 to both terms inside the parentheses:
82.78(p) + 82.78(11.892) = 72.8464.

2. Simplify further:
82.78p + 980.97336 = 72.8464.

3. Isolate the variable term by subtracting 980.97336 from both sides of the equation:
82.78p = 72.8464 - 980.97336.

4. Simplify the right side:
82.78p = -908.12696.

5. To solve for p, divide both sides of the equation by 82.78:
p = -908.12696 / 82.78.

So the solution for p, without rounding, is p = -10.962127013507079.