10(8n-5)=9(10-10n)

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Solution for 10(8n-5)=9(10-10n) equation: 



10(8n-5)=9(10-10n)

We move all terms to the left:

10(8n-5)-(9(10-10n))=0

We add all the numbers together, and all the variables

10(8n-5)-(9(-10n+10))=0

We multiply parentheses

80n-(9(-10n+10))-50=0



We calculate terms in parentheses: -(9(-10n+10)), so:

9(-10n+10)

We multiply parentheses

-90n+90

Back to the equation:

-(-90n+90)



We get rid of parentheses

80n+90n-90-50=0

We add all the numbers together, and all the variables

170n-140=0

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

170n=140

n=140/170

n=14/17

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