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5a+2=3a+15
We move all terms to the left:
5a+2-(3a+15)=0
We get rid of parentheses
5a-3a-15+2=0
We add all the numbers together, and all the variables
2a-13=0
We move all terms containing a to the left, all other terms to the right
2a=13
a=13/2
a=6+1/2
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