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Simplifying 0 = 6a + -6ab + 2bc + -2c Solving 0 = 6a + -6ab + 2bc + -2c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 0 + -6a = 6a + -6ab + 2bc + -6a + -2c Remove the zero: -6a = 6a + -6ab + 2bc + -6a + -2c Reorder the terms: -6a = 6a + -6a + -6ab + 2bc + -2c Combine like terms: 6a + -6a = 0 -6a = 0 + -6ab + 2bc + -2c -6a = -6ab + 2bc + -2c Add '6ab' to each side of the equation. -6a + 6ab = -6ab + 2bc + 6ab + -2c Reorder the terms: -6a + 6ab = -6ab + 6ab + 2bc + -2c Combine like terms: -6ab + 6ab = 0 -6a + 6ab = 0 + 2bc + -2c -6a + 6ab = 2bc + -2c Reorder the terms: -6a + 6ab + -2bc + 2c = 2bc + -2bc + -2c + 2c Combine like terms: 2bc + -2bc = 0 -6a + 6ab + -2bc + 2c = 0 + -2c + 2c -6a + 6ab + -2bc + 2c = -2c + 2c Combine like terms: -2c + 2c = 0 -6a + 6ab + -2bc + 2c = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-3a + 3ab + -1bc + c) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3a + 3ab + -1bc + c)' equal to zero and attempt to solve: Simplifying -3a + 3ab + -1bc + c = 0 Solving -3a + 3ab + -1bc + c = 0 Move all terms containing a to the left, all other terms to the right. Add 'bc' to each side of the equation. -3a + 3ab + -1bc + bc + c = 0 + bc Combine like terms: -1bc + bc = 0 -3a + 3ab + 0 + c = 0 + bc -3a + 3ab + c = 0 + bc Remove the zero: -3a + 3ab + c = bc Add '-1c' to each side of the equation. -3a + 3ab + c + -1c = bc + -1c Combine like terms: c + -1c = 0 -3a + 3ab + 0 = bc + -1c -3a + 3ab = bc + -1c 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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