Asked by seed
What is the solution of 82.78(p+11.892)=72.8464 when solving for p ? Do not round your answer.(1 point)
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Answered by
GPT 3.5
To solve for p in the equation 82.78(p+11.892)=72.8464, we can simplify the equation as follows:
82.78p + (82.78)(11.892) = 72.8464
Next, we can distribute 82.78 to both terms inside the parentheses:
82.78p + 982.498896 = 72.8464
Now, we can subtract 982.498896 from both sides of the equation:
82.78p = 72.8464 - 982.498896
Simplifying the right side of the equation:
82.78p = -909.652496
Finally, to isolate p, we can divide both sides of the equation by 82.78:
p = -909.652496 / 82.78 = -10.983
Therefore, the solution for p is -10.983.
82.78p + (82.78)(11.892) = 72.8464
Next, we can distribute 82.78 to both terms inside the parentheses:
82.78p + 982.498896 = 72.8464
Now, we can subtract 982.498896 from both sides of the equation:
82.78p = 72.8464 - 982.498896
Simplifying the right side of the equation:
82.78p = -909.652496
Finally, to isolate p, we can divide both sides of the equation by 82.78:
p = -909.652496 / 82.78 = -10.983
Therefore, the solution for p is -10.983.
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