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5a+3a=60
Multiply both sides of the equation by 60, the least common multiple of 12,20.
8a=60
Combine 5a and 3a to get 8a.
a=\frac{60}{8}
Divide both sides by 8.
a=\frac{15}{2}
Reduce the fraction \frac{60}{8} to lowest terms by extracting and canceling out 4.