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3a(a+4)-2a+7=3a^2+12-2a+7
We move all terms to the left:
3a(a+4)-2a+7-(3a^2+12-2a+7)=0
We add all the numbers together, and all the variables
-2a+3a(a+4)-(3a^2+12-2a+7)+7=0
We multiply parentheses
3a^2-2a+12a-(3a^2+12-2a+7)+7=0
We get rid of parentheses
3a^2-3a^2-2a+12a+2a-12-7+7=0
We add all the numbers together, and all the variables
12a-12=0
We move all terms containing a to the left, all other terms to the right
12a=12
a=12/12
a=1
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