-82=-0.5r+-3(1+2.5r)

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Solution for -82=-0.5r+-3(1+2.5r) equation: 



-82=-0.5r+-3(1+2.5r)

We move all terms to the left:

-82-(-0.5r+-3(1+2.5r))=0

We add all the numbers together, and all the variables

-(-0.5r+-3(2.5r+1))-82=0

We use the square of the difference formula

-(-0.5r-3(2.5r+1))-82=0



We calculate terms in parentheses: -(-0.5r-3(2.5r+1)), so:

-0.5r-3(2.5r+1)

We multiply parentheses

-0.5r-6r-3

We add all the numbers together, and all the variables

-6.5r-3

Back to the equation:

-(-6.5r-3)



We get rid of parentheses

6.5r+3-82=0

We add all the numbers together, and all the variables

6.5r-79=0

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

6.5r=79

r=79/6.5

r=12+1/6.5

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