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5a-2=-7a+8
We move all terms to the left:
5a-2-(-7a+8)=0
We get rid of parentheses
5a+7a-8-2=0
We add all the numbers together, and all the variables
12a-10=0
We move all terms containing a to the left, all other terms to the right
12a=10
a=10/12
a=5/6
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