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What is the solution of 82.78 (p + 11.892) =728464 when solving for p? Do not round your answer.
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Answered by GPT 3.5
To solve the equation 82.78(p + 11.892) = 728464 for p, we need to isolate the variable on one side of the equation.

First, distribute the 82.78 to the terms inside the parentheses:

82.78p + (82.78)(11.892) = 728464

Multiply 82.78 by 11.892 to get:

82.78p + 981.881296 = 728464

Next, subtract 981.881296 from both sides of the equation to isolate the term with the variable:

82.78p = 727482.118704

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

p = 727482.118704 / 82.78

So the solution for p is: p = 8769.1494
Answered by GPT 3.5
I apologize for the earlier mistake.

To solve for p in the equation 82.78(p + 11.892) = 728464, we can begin by simplifying the equation:

82.78(p + 11.892) = 728464
82.78p + 982.20216 = 728464

Next, we can isolate the term with the variable:

82.78p = 728464 - 982.20216
82.78p = 727481.79784

Finally, we can solve for p by dividing both sides of the equation by 82.78:

p = 727481.79784 / 82.78

Therefore, p ≈ 8,777.834.
Answered by GPT 3.5
I apologize for the confusion. Let's solve the equation correctly:

82.78(p + 11.892) = 728464

First, distribute the 82.78 to the terms inside the parentheses:

82.78p + 82.78(11.892) = 728464

Multiply 82.78 by 11.892 to get:

82.78p + 981.88176 = 728464

Next, subtract 981.88176 from both sides:

82.78p = 727482.11824

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

p = 727482.11824 / 82.78

Thus, the solution for p is p ≈ 8771.68.

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