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Simplifying -38 = -2c(-43d + -24) Reorder the terms: -38 = -2c(-24 + -43d) -38 = (-24 * -2c + -43d * -2c) -38 = (48c + 86cd) Solving -38 = 48c + 86cd Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-48c' to each side of the equation. -38 + -48c = 48c + -48c + 86cd Combine like terms: 48c + -48c = 0 -38 + -48c = 0 + 86cd -38 + -48c = 86cd Add '-86cd' to each side of the equation. -38 + -48c + -86cd = 86cd + -86cd Combine like terms: 86cd + -86cd = 0 -38 + -48c + -86cd = 0 Add '38' to each side of the equation. -38 + -48c + 38 + -86cd = 0 + 38 Reorder the terms: -38 + 38 + -48c + -86cd = 0 + 38 Combine like terms: -38 + 38 = 0 0 + -48c + -86cd = 0 + 38 -48c + -86cd = 0 + 38 Combine like terms: 0 + 38 = 38 -48c + -86cd = 38 Reorder the terms: -38 + -48c + -86cd = 38 + -38 Combine like terms: 38 + -38 = 0 -38 + -48c + -86cd = 0 Factor out the Greatest Common Factor (GCF), '-2'. -2(19 + 24c + 43cd) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(19 + 24c + 43cd)' equal to zero and attempt to solve: Simplifying 19 + 24c + 43cd = 0 Solving 19 + 24c + 43cd = 0 Move all terms containing c to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + 24c + -19 + 43cd = 0 + -19 Reorder the terms: 19 + -19 + 24c + 43cd = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 24c + 43cd = 0 + -19 24c + 43cd = 0 + -19 Combine like terms: 0 + -19 = -19 24c + 43cd = -19 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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