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3(a+4)-8(a-3)=1
We move all terms to the left:
3(a+4)-8(a-3)-(1)=0
We multiply parentheses
3a-8a+12+24-1=0
We add all the numbers together, and all the variables
-5a+35=0
We move all terms containing a to the left, all other terms to the right
-5a=-35
a=-35/-5
a=+7
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