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5a-3\times 3a=10
Multiply both sides of the equation by 12, the least common multiple of 12,4,6.
5a-9a=10
Multiply -3 and 3 to get -9.
-4a=10
Combine 5a and -9a to get -4a.
a=\frac{10}{-4}
Divide both sides by -4.
a=-\frac{5}{2}
Reduce the fraction \frac{10}{-4} to lowest terms by extracting and canceling out 2.