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Simplifying -3(5 + -3k) = 6k + 6 (5 * -3 + -3k * -3) = 6k + 6 (-15 + 9k) = 6k + 6 Reorder the terms: -15 + 9k = 6 + 6k Solving -15 + 9k = 6 + 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 = 6 + 6k + -6k Combine like terms: 9k + -6k = 3k -15 + 3k = 6 + 6k + -6k Combine like terms: 6k + -6k = 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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