500=45*m+35(12-m)

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Solution for 500=45*m+35(12-m) equation: 



500=45m+35(12-m)

We move all terms to the left:

500-(45m+35(12-m))=0

We add all the numbers together, and all the variables

-(45m+35(-1m+12))+500=0



We calculate terms in parentheses: -(45m+35(-1m+12)), so:

45m+35(-1m+12)

We multiply parentheses

45m-35m+420

We add all the numbers together, and all the variables

10m+420

Back to the equation:

-(10m+420)



We get rid of parentheses

-10m-420+500=0

We add all the numbers together, and all the variables

-10m+80=0

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

-10m=-80

m=-80/-10

m=+8

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