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Simplifying 27c + 38cdg = 0 Solving 27c + 38cdg = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'c'. c(27 + 38dg) = 0## Subproblem 1

Set the factor 'c' equal to zero and attempt to solve: Simplifying c = 0 Solving c = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c = 0## Subproblem 2

Set the factor '(27 + 38dg)' equal to zero and attempt to solve: Simplifying 27 + 38dg = 0 Solving 27 + 38dg = 0 Move all terms containing c to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 38dg = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 38dg = 0 + -27 38dg = 0 + -27 Combine like terms: 0 + -27 = -27 38dg = -27 Add '-38dg' to each side of the equation. 38dg + -38dg = -27 + -38dg Combine like terms: 38dg + -38dg = 0 0 = -27 + -38dg Simplifying 0 = -27 + -38dg The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.## Solution

c = {0}

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