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Simplifying (9k) = (6(k + -7)) Reorder the terms: (9k) = (6(-7 + k)) (9k) = ((-7 * 6 + k * 6)) (9k) = ((-42 + 6k)) (9k) = (-42 + 6k) Remove parenthesis around (-42 + 6k) (9k) = -42 + 6k Solving (9k) = -42 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. (9k) + -6k = -42 + 6k + -6k Combine like terms: (9k) + -6k = 3k 3k = -42 + 6k + -6k Combine like terms: 6k + -6k = 0 3k = -42 + 0 3k = -42 Divide each side by '3'. k = -14 Simplifying k = -14
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