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