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taytay16483
HI :)
First we must distribute the 2.6 to everything inside the () 

The new equation would then be
14.3p-32.24 = 127.92

Then you would add a -32.24 to each side of the equal sign, so that the 32.34 would become a zero pair on the right side of the equal sign and cancel. 

The new equation would then be
14.3p = 160.16

Then you divide each side of the = by 14.3, that way the p becomes isolated.
14.3p/14.3 = 160.16/14.3

Then you're left with 
p = 11.2

Hope this helped :)

Value of p for the given linear equation [tex]2.6(5.5p -12.4) = 127.92[/tex] is equals to 11.2.

What is linear equation?

" Linear equation is defined as the equation which relates the given variables with highest exponent one. Graph of linear equation is always a straight line."

Property used

Distributive property multiplication over subtraction

A × (B - C) = A × B - A × C

According to the question,

Given linear equation ,

[tex]2.6(5.5p -12.4) = 127.92[/tex]

Apply distributive property on the given linear equation we get,

2.6 × 5.5p - 2.6 ×12.4 = 127.92

⇒14.3p - 32.24 = 127.92

Add 32.24 both the side of the linear equation we get,

14.3p - 32.24 + 32.24 = 127.92 + 32.24

⇒ 14.3p = 160.16

Divide both the side of linear equation by 14.3 we get,

[tex]\frac{14.3p}{14.3}= \frac{160.16}{14.3} \\\\\implies p = 11.2[/tex]

Hence, value of p for the given linear equation [tex]2.6(5.5p -12.4) = 127.92[/tex] is equals to 11.2.

Learn more about linear equation here

https://brainly.com/question/11897796

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