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Simplifying -3(6 + -3k) = 2k + 3 (6 * -3 + -3k * -3) = 2k + 3 (-18 + 9k) = 2k + 3 Reorder the terms: -18 + 9k = 3 + 2k Solving -18 + 9k = 3 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -18 + 9k + -2k = 3 + 2k + -2k Combine like terms: 9k + -2k = 7k -18 + 7k = 3 + 2k + -2k Combine like terms: 2k + -2k = 0 -18 + 7k = 3 + 0 -18 + 7k = 3 Add '18' to each side of the equation. -18 + 18 + 7k = 3 + 18 Combine like terms: -18 + 18 = 0 0 + 7k = 3 + 18 7k = 3 + 18 Combine like terms: 3 + 18 = 21 7k = 21 Divide each side by '7'. k = 3 Simplifying k = 3
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