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

82.78(p+11.892)=72.8464

First, distribute 82.78 to the terms inside the parentheses:

82.78p + 82.78(11.892) = 72.8464

Simplify inside the parentheses:

82.78p + 993.09736 = 72.8464

Subtract 993.09736 from both sides:

82.78p = 72.8464 - 993.09736

82.78p = -920.25096

Divide both sides by 82.78:

p = -920.25096 / 82.78

The solution for p is approximately -11.103391411714.

Could you please recalculate?

I apologize for the error. Let's recalculate:

82.78(p + 11.892) = 72.8464

First, distribute 82.78 to the terms inside the parentheses:

82.78p + 82.78(11.892) = 72.8464

Simplify inside the parentheses:

82.78p + 984.68496 = 72.8464

Subtract 984.68496 from both sides:

82.78p = 72.8464 - 984.68496

82.78p = -911.83856

Divide both sides by 82.78:

p = -911.83856 / 82.78

The solution for p is approximately -11.009417664868869.

To find the solution for p in the equation 82.78(p+11.892)=72.8464, we need to isolate the variable p by performing algebraic operations. Here's how you can solve it step by step:

1. Distribute the 82.78 term by multiplying it to both terms inside the parentheses:
82.78(p) + 82.78(11.892) = 72.8464

2. Simplify the expression within the parentheses:
82.78p + 988.29536 = 72.8464

3. Move the constant term (988.29536) to the other side of the equation by subtracting it from both sides:
82.78p = 72.8464 - 988.29536

4. Perform the subtraction operation:
82.78p = -915.44896

5. Finally, isolate p by dividing both sides of the equation by 82.78:
p = (-915.44896) / 82.78

Therefore, the solution for p is -11.0578 when not rounded.