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(3-a)+1=5(a-9)+3

We move all terms to the left:

(3-a)+1-(5(a-9)+3)=0

We add all the numbers together, and all the variables

(-1a+3)-(5(a-9)+3)+1=0

We get rid of parentheses

-1a-(5(a-9)+3)+3+1=0

We calculate terms in parentheses: -(5(a-9)+3), so:We add all the numbers together, and all the variables

5(a-9)+3

We multiply parentheses

5a-45+3

We add all the numbers together, and all the variables

5a-42

Back to the equation:

-(5a-42)

-1a-(5a-42)+4=0

We get rid of parentheses

-1a-5a+42+4=0

We add all the numbers together, and all the variables

-6a+46=0

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

-6a=-46

a=-46/-6

a=7+2/3

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