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-10+10a=15a+3
We move all terms to the left:
-10+10a-(15a+3)=0
We get rid of parentheses
10a-15a-3-10=0
We add all the numbers together, and all the variables
-5a-13=0
We move all terms containing a to the left, all other terms to the right
-5a=13
a=13/-5
a=-2+3/5
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