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4100a-3075=0\times 5a-9
Use the distributive property to multiply 1025 by 4a-3.
4100a-3075=0a-9
Multiply 0 and 5 to get 0.
4100a-3075=0-9
Anything times zero gives zero.
4100a-3075=-9
Subtract 9 from 0 to get -9.
4100a=-9+3075
Add 3075 to both sides.
4100a=3066
Add -9 and 3075 to get 3066.
a=\frac{3066}{4100}
Divide both sides by 4100.
a=\frac{1533}{2050}
Reduce the fraction \frac{3066}{4100} to lowest terms by extracting and canceling out 2.