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Solve for c. Express your answer as a proper or improper fraction in simplest terms. -(1)/(6)=-(1)/(2)-(1)/(6)c Answer: c=

Solve for c c . Express your answer as a proper or improper fraction in simplest terms.\newline−16=−12−16c -\frac{1}{6}=-\frac{1}{2}-\frac{1}{6} c \newlineAnswer: c= c=

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Q. Solve for c c . Express your answer as a proper or improper fraction in simplest terms.\newline−16=−12−16c -\frac{1}{6}=-\frac{1}{2}-\frac{1}{6} c \newlineAnswer: c= c=
  1. Write Equation: Write down the given equation.\newline−16=−12−16c-\frac{1}{6} = -\frac{1}{2} - \frac{1}{6}c
  2. Isolate c: To isolate c, we need to get rid of the fractions. To do this, we can find a common denominator for the fractions, which in this case is 66. However, since the denominators are already the same, we can simply subtract the fractions on the right side.\newline−16=−12−16c-\frac{1}{6} = -\frac{1}{2} - \frac{1}{6}c\newlineTo subtract the fractions, we convert −12-\frac{1}{2} to a fraction with a denominator of 66.\newline−12=−36-\frac{1}{2} = -\frac{3}{6}\newlineNow we have:\newline−16=−36−16c-\frac{1}{6} = -\frac{3}{6} - \frac{1}{6}c
  3. Combine Fractions: Combine the fractions on the right side of the equation.\newline−16=−(36+16c)-\frac{1}{6} = -\left(\frac{3}{6} + \frac{1}{6}c\right)\newline−16=−(3+c6)-\frac{1}{6} = -\left(\frac{3 + c}{6}\right)
  4. Equate Numerators: Since the fractions on both sides of the equation have the same denominator, we can equate their numerators.\newline−1=−3−c-1 = -3 - c
  5. Add 33: Add 33 to both sides of the equation to solve for cc. \newline−1+3=−3+3−c-1 + 3 = -3 + 3 - c\newline2=−c2 = -c
  6. Multiply by −1-1: Multiply both sides by −1-1 to get the positive value of cc.−1×2=−1×−c-1 \times 2 = -1 \times -c−2=c-2 = c

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