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5a+2=-2a+16
We move all terms to the left:
5a+2-(-2a+16)=0
We get rid of parentheses
5a+2a-16+2=0
We add all the numbers together, and all the variables
7a-14=0
We move all terms containing a to the left, all other terms to the right
7a=14
a=14/7
a=2
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