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7r-15=2r+10

We move all terms to the left:

7r-15-(2r+10)=0

We get rid of parentheses

7r-2r-10-15=0

We add all the numbers together, and all the variables

5r-25=0

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

5r=25

r=25/5

r=5

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