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4a+3=2a-7
We move all terms to the left:
4a+3-(2a-7)=0
We get rid of parentheses
4a-2a+7+3=0
We add all the numbers together, and all the variables
2a+10=0
We move all terms containing a to the left, all other terms to the right
2a=-10
a=-10/2
a=-5
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