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47=7m+5
We move all terms to the left:
47-(7m+5)=0
We get rid of parentheses
-7m-5+47=0
We add all the numbers together, and all the variables
-7m+42=0
We move all terms containing m to the left, all other terms to the right
-7m=-42
m=-42/-7
m=+6
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