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Simplifying 9k = 6(k + -42) Reorder the terms: 9k = 6(-42 + k) 9k = (-42 * 6 + k * 6) 9k = (-252 + 6k) Solving 9k = -252 + 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 = -252 + 6k + -6k Combine like terms: 9k + -6k = 3k 3k = -252 + 6k + -6k Combine like terms: 6k + -6k = 0 3k = -252 + 0 3k = -252 Divide each side by '3'. k = -84 Simplifying k = -84
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