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13-8(3w+5)=6(1+w)

We move all terms to the left:

13-8(3w+5)-(6(1+w))=0

We add all the numbers together, and all the variables

-8(3w+5)-(6(w+1))+13=0

We multiply parentheses

-24w-(6(w+1))-40+13=0

We calculate terms in parentheses: -(6(w+1)), so:We add all the numbers together, and all the variables

6(w+1)

We multiply parentheses

6w+6

Back to the equation:

-(6w+6)

-24w-(6w+6)-27=0

We get rid of parentheses

-24w-6w-6-27=0

We add all the numbers together, and all the variables

-30w-33=0

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

-30w=33

w=33/-30

w=-1+1/10

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