100=2.5(600-500r)-500

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Solution for 100=2.5(600-500r)-500 equation: 



100=2.5(600-500r)-500

We move all terms to the left:

100-(2.5(600-500r)-500)=0

We add all the numbers together, and all the variables

-(2.5(-500r+600)-500)+100=0



We calculate terms in parentheses: -(2.5(-500r+600)-500), so:

2.5(-500r+600)-500

We multiply parentheses

-1250r+1500-500

We add all the numbers together, and all the variables

-1250r+1000

Back to the equation:

-(-1250r+1000)



We get rid of parentheses

1250r-1000+100=0

We add all the numbers together, and all the variables

1250r-900=0

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

1250r=900

r=900/1250

r=18/25

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