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6c+2c+c=12
Multiply both sides of the equation by 12, the least common multiple of 2,6,12.
8c+c=12
Combine 6c and 2c to get 8c.
9c=12
Combine 8c and c to get 9c.
c=\frac{12}{9}
Divide both sides by 9.
c=\frac{4}{3}
Reduce the fraction \frac{12}{9} to lowest terms by extracting and canceling out 3.