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Simplifying (ab + -7a) = a Reorder the terms: (-7a + ab) = a Remove parenthesis around (-7a + ab) -7a + ab = a Solving -7a + ab = a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -7a + -1a + ab = a + -1a Combine like terms: -7a + -1a = -8a -8a + ab = a + -1a Combine like terms: a + -1a = 0 -8a + ab = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(-8 + b) = 0Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(-8 + b)' equal to zero and attempt to solve: Simplifying -8 + b = 0 Solving -8 + b = 0 Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + b = 0 + 8 Combine like terms: -8 + 8 = 0 0 + b = 0 + 8 b = 0 + 8 Combine like terms: 0 + 8 = 8 b = 8 Add '-1b' to each side of the equation. b + -1b = 8 + -1b Combine like terms: b + -1b = 0 0 = 8 + -1b Simplifying 0 = 8 + -1b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
a = {0}
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