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35=4a+3a
We move all terms to the left:
35-(4a+3a)=0
We add all the numbers together, and all the variables
-(+7a)+35=0
We get rid of parentheses
-7a+35=0
We move all terms containing a to the left, all other terms to the right
-7a=-35
a=-35/-7
a=+5
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