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Simplifying 7c + -8ab + 9c + -10a = 0 Reorder the terms: -10a + -8ab + 7c + 9c = 0 Combine like terms: 7c + 9c = 16c -10a + -8ab + 16c = 0 Solving -10a + -8ab + 16c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16c' to each side of the equation. -10a + -8ab + 16c + -16c = 0 + -16c Combine like terms: 16c + -16c = 0 -10a + -8ab + 0 = 0 + -16c -10a + -8ab = 0 + -16c Remove the zero: -10a + -8ab = -16c Combine like terms: -16c + 16c = 0 -10a + -8ab + 16c = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-5a + -4ab + 8c) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5a + -4ab + 8c)' equal to zero and attempt to solve: Simplifying -5a + -4ab + 8c = 0 Solving -5a + -4ab + 8c = 0 Move all terms containing a to the left, all other terms to the right. Add '-8c' to each side of the equation. -5a + -4ab + 8c + -8c = 0 + -8c Combine like terms: 8c + -8c = 0 -5a + -4ab + 0 = 0 + -8c -5a + -4ab = 0 + -8c Remove the zero: -5a + -4ab = -8c 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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