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Simplifying -3(-5 + -3k) = 6k + 12 (-5 * -3 + -3k * -3) = 6k + 12 (15 + 9k) = 6k + 12 Reorder the terms: 15 + 9k = 12 + 6k Solving 15 + 9k = 12 + 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. 15 + 9k + -6k = 12 + 6k + -6k Combine like terms: 9k + -6k = 3k 15 + 3k = 12 + 6k + -6k Combine like terms: 6k + -6k = 0 15 + 3k = 12 + 0 15 + 3k = 12 Add '-15' to each side of the equation. 15 + -15 + 3k = 12 + -15 Combine like terms: 15 + -15 = 0 0 + 3k = 12 + -15 3k = 12 + -15 Combine like terms: 12 + -15 = -3 3k = -3 Divide each side by '3'. k = -1 Simplifying k = -1
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