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Simplifying 30 = -5c(6n + 6) Reorder the terms: 30 = -5c(6 + 6n) 30 = (6 * -5c + 6n * -5c) 30 = (-30c + -30cn) Solving 30 = -30c + -30cn Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '30c' to each side of the equation. 30 + 30c = -30c + 30c + -30cn Combine like terms: -30c + 30c = 0 30 + 30c = 0 + -30cn 30 + 30c = -30cn Add '30cn' to each side of the equation. 30 + 30c + 30cn = -30cn + 30cn Combine like terms: -30cn + 30cn = 0 30 + 30c + 30cn = 0 Add '-30' to each side of the equation. 30 + 30c + -30 + 30cn = 0 + -30 Reorder the terms: 30 + -30 + 30c + 30cn = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 30c + 30cn = 0 + -30 30c + 30cn = 0 + -30 Combine like terms: 0 + -30 = -30 30c + 30cn = -30 Reorder the terms: 30 + 30c + 30cn = -30 + 30 Combine like terms: -30 + 30 = 0 30 + 30c + 30cn = 0 Factor out the Greatest Common Factor (GCF), '30'. 30(1 + c + cn) = 0 Ignore the factor 30.Subproblem 1
Set the factor '(1 + c + cn)' equal to zero and attempt to solve: Simplifying 1 + c + cn = 0 Solving 1 + c + cn = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + c + -1 + cn = 0 + -1 Reorder the terms: 1 + -1 + c + cn = 0 + -1 Combine like terms: 1 + -1 = 0 0 + c + cn = 0 + -1 c + cn = 0 + -1 Combine like terms: 0 + -1 = -1 c + cn = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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