Solve for c
c=25
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-9\left(c-3\right)=-11\left(c-7\right)
Variable c cannot be equal to 7 since division by zero is not defined. Multiply both sides of the equation by 9\left(c-7\right), the least common multiple of 7-c,9.
-9c+27=-11\left(c-7\right)
Use the distributive property to multiply -9 by c-3.
-9c+27=-11c+77
Use the distributive property to multiply -11 by c-7.
-9c+27+11c=77
Add 11c to both sides.
2c+27=77
Combine -9c and 11c to get 2c.
2c=77-27
Subtract 27 from both sides.
2c=50
Subtract 27 from 77 to get 50.
c=\frac{50}{2}
Divide both sides by 2.
c=25
Divide 50 by 2 to get 25.
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