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4a-7(a-9)=31-7a
We move all terms to the left:
4a-7(a-9)-(31-7a)=0
We add all the numbers together, and all the variables
4a-7(a-9)-(-7a+31)=0
We multiply parentheses
4a-7a-(-7a+31)+63=0
We get rid of parentheses
4a-7a+7a-31+63=0
We add all the numbers together, and all the variables
4a+32=0
We move all terms containing a to the left, all other terms to the right
4a=-32
a=-32/4
a=-8
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