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6=a/7-3
We move all terms to the left:
6-(a/7-3)=0
We get rid of parentheses
-a/7+3+6=0
We multiply all the terms by the denominator
-a+3*7+6*7=0
We add all the numbers together, and all the variables
-1a+63=0
We move all terms containing a to the left, all other terms to the right
-a=-63
a=-63/-1
a=+63
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