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Simplifying -2k(a + 6) = -22 Reorder the terms: -2k(6 + a) = -22 (6 * -2k + a * -2k) = -22 Reorder the terms: (-2ak + -12k) = -22 (-2ak + -12k) = -22 Solving -2ak + -12k = -22 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12k' to each side of the equation. -2ak + -12k + 12k = -22 + 12k Combine like terms: -12k + 12k = 0 -2ak + 0 = -22 + 12k -2ak = -22 + 12k Divide each side by '-2k'. a = 11k-1 + -6 Simplifying a = 11k-1 + -6 Reorder the terms: a = -6 + 11k-1
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