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Simplifying 9a + 26c + 2ab + 13c + 4ab + -9b = 0 Reorder the terms: 9a + 2ab + 4ab + -9b + 26c + 13c = 0 Combine like terms: 2ab + 4ab = 6ab 9a + 6ab + -9b + 26c + 13c = 0 Combine like terms: 26c + 13c = 39c 9a + 6ab + -9b + 39c = 0 Solving 9a + 6ab + -9b + 39c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9b' to each side of the equation. 9a + 6ab + -9b + 9b + 39c = 0 + 9b Combine like terms: -9b + 9b = 0 9a + 6ab + 0 + 39c = 0 + 9b 9a + 6ab + 39c = 0 + 9b Remove the zero: 9a + 6ab + 39c = 9b Add '-39c' to each side of the equation. 9a + 6ab + 39c + -39c = 9b + -39c Combine like terms: 39c + -39c = 0 9a + 6ab + 0 = 9b + -39c 9a + 6ab = 9b + -39c Reorder the terms: 9a + 6ab + -9b + 39c = 9b + -9b + -39c + 39c Combine like terms: 9b + -9b = 0 9a + 6ab + -9b + 39c = 0 + -39c + 39c 9a + 6ab + -9b + 39c = -39c + 39c Combine like terms: -39c + 39c = 0 9a + 6ab + -9b + 39c = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(3a + 2ab + -3b + 13c) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(3a + 2ab + -3b + 13c)' equal to zero and attempt to solve: Simplifying 3a + 2ab + -3b + 13c = 0 Solving 3a + 2ab + -3b + 13c = 0 Move all terms containing a to the left, all other terms to the right. Add '3b' to each side of the equation. 3a + 2ab + -3b + 3b + 13c = 0 + 3b Combine like terms: -3b + 3b = 0 3a + 2ab + 0 + 13c = 0 + 3b 3a + 2ab + 13c = 0 + 3b Remove the zero: 3a + 2ab + 13c = 3b Add '-13c' to each side of the equation. 3a + 2ab + 13c + -13c = 3b + -13c Combine like terms: 13c + -13c = 0 3a + 2ab + 0 = 3b + -13c 3a + 2ab = 3b + -13c 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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