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47=3r-10
We move all terms to the left:
47-(3r-10)=0
We get rid of parentheses
-3r+10+47=0
We add all the numbers together, and all the variables
-3r+57=0
We move all terms containing r to the left, all other terms to the right
-3r=-57
r=-57/-3
r=+19
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