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14\times 10=c\times 20
Variable c cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 14c, the least common multiple of c,14.
140=c\times 20
Multiply 14 and 10 to get 140.
c\times 20=140
Swap sides so that all variable terms are on the left hand side.
c=\frac{140}{20}
Divide both sides by 20.
c=7
Divide 140 by 20 to get 7.