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Simplifying -3(5 + -4k) = 9k + 6 (5 * -3 + -4k * -3) = 9k + 6 (-15 + 12k) = 9k + 6 Reorder the terms: -15 + 12k = 6 + 9k Solving -15 + 12k = 6 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. -15 + 12k + -9k = 6 + 9k + -9k Combine like terms: 12k + -9k = 3k -15 + 3k = 6 + 9k + -9k Combine like terms: 9k + -9k = 0 -15 + 3k = 6 + 0 -15 + 3k = 6 Add '15' to each side of the equation. -15 + 15 + 3k = 6 + 15 Combine like terms: -15 + 15 = 0 0 + 3k = 6 + 15 3k = 6 + 15 Combine like terms: 6 + 15 = 21 3k = 21 Divide each side by '3'. k = 7 Simplifying k = 7
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