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30c+10c+5c+3c=60
Multiply both sides of the equation by 60, the least common multiple of 2,6,12,20.
40c+5c+3c=60
Combine 30c and 10c to get 40c.
45c+3c=60
Combine 40c and 5c to get 45c.
48c=60
Combine 45c and 3c to get 48c.
c=\frac{60}{48}
Divide both sides by 48.
c=\frac{5}{4}
Reduce the fraction \frac{60}{48} to lowest terms by extracting and canceling out 12.