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5a+2c=509\times 187
Multiply both sides by 187.
5a+2c=95183
Multiply 509 and 187 to get 95183.
5a=95183-2c
Subtract 2c from both sides.
\frac{5a}{5}=\frac{95183-2c}{5}
Divide both sides by 5.
a=\frac{95183-2c}{5}
Dividing by 5 undoes the multiplication by 5.
5a+2c=509\times 187
Multiply both sides by 187.
5a+2c=95183
Multiply 509 and 187 to get 95183.
2c=95183-5a
Subtract 5a from both sides.
\frac{2c}{2}=\frac{95183-5a}{2}
Divide both sides by 2.
c=\frac{95183-5a}{2}
Dividing by 2 undoes the multiplication by 2.