11.5(12.6n+8.2)+5.3=0.4(n+7.6)-11n

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Solution for 11.5(12.6n+8.2)+5.3=0.4(n+7.6)-11n equation: 



11.5(12.6n+8.2)+5.3=0.4(n+7.6)-11n

We move all terms to the left:

11.5(12.6n+8.2)+5.3-(0.4(n+7.6)-11n)=0

We multiply parentheses

138n-(0.4(n+7.6)-11n)+94.3+5.3=0



We calculate terms in parentheses: -(0.4(n+7.6)-11n), so:

0.4(n+7.6)-11n

We add all the numbers together, and all the variables

-11n+0.4(n+7.6)

We multiply parentheses

-11n+0.4n+3.04

We add all the numbers together, and all the variables

-10.6n+3.04

Back to the equation:

-(-10.6n+3.04)



We add all the numbers together, and all the variables

138n-(-10.6n+3.04)+99.6=0

We get rid of parentheses

138n+10.6n-3.04+99.6=0

We add all the numbers together, and all the variables

148.6n+96.56=0

We move all terms containing n to the left, all other terms to the right

148.6n=-96.56

n=-96.56/148.6

n=-21.175438596491/32.587719298246

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