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2c-1=-8
Variable c cannot be equal to \frac{1}{2} since division by zero is not defined. Multiply both sides of the equation by 8\left(2c-1\right), the least common multiple of 8,1-2c.
2c=-8+1
Add 1 to both sides.
2c=-7
Add -8 and 1 to get -7.
c=\frac{-7}{2}
Divide both sides by 2.
c=-\frac{7}{2}
Fraction \frac{-7}{2} can be rewritten as -\frac{7}{2} by extracting the negative sign.