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10(1-10u)=9(1-11u)

We move all terms to the left:

10(1-10u)-(9(1-11u))=0

We add all the numbers together, and all the variables

10(-10u+1)-(9(-11u+1))=0

We multiply parentheses

-100u-(9(-11u+1))+10=0

We calculate terms in parentheses: -(9(-11u+1)), so:We get rid of parentheses

9(-11u+1)

We multiply parentheses

-99u+9

Back to the equation:

-(-99u+9)

-100u+99u-9+10=0

We add all the numbers together, and all the variables

-1u+1=0

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

-u=-1

u=-1/-1

u=1

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