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7(a+4)=3a+8
We move all terms to the left:
7(a+4)-(3a+8)=0
We multiply parentheses
7a-(3a+8)+28=0
We get rid of parentheses
7a-3a-8+28=0
We add all the numbers together, and all the variables
4a+20=0
We move all terms containing a to the left, all other terms to the right
4a=-20
a=-20/4
a=-5
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