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Simplifying -18 + -6k = 6(1 + 3ka) -18 + -6k = (1 * 6 + 3ak * 6) -18 + -6k = (6 + 18ak) Solving -18 + -6k = 6 + 18ak Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18ak' to each side of the equation. -18 + -18ak + -6k = 6 + 18ak + -18ak Combine like terms: 18ak + -18ak = 0 -18 + -18ak + -6k = 6 + 0 -18 + -18ak + -6k = 6 Add '18' to each side of the equation. -18 + -18ak + 18 + -6k = 6 + 18 Reorder the terms: -18 + 18 + -18ak + -6k = 6 + 18 Combine like terms: -18 + 18 = 0 0 + -18ak + -6k = 6 + 18 -18ak + -6k = 6 + 18 Combine like terms: 6 + 18 = 24 -18ak + -6k = 24 Reorder the terms: -24 + -18ak + -6k = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + -18ak + -6k = 0 Factor out the Greatest Common Factor (GCF), '-6'. -6(4 + 3ak + k) = 0 Ignore the factor -6.Subproblem 1
Set the factor '(4 + 3ak + k)' equal to zero and attempt to solve: Simplifying 4 + 3ak + k = 0 Solving 4 + 3ak + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 3ak + -4 + k = 0 + -4 Reorder the terms: 4 + -4 + 3ak + k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3ak + k = 0 + -4 3ak + k = 0 + -4 Combine like terms: 0 + -4 = -4 3ak + k = -4 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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