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Simplifying 9(1k + -2) = 3(1k + 4) Reorder the terms: 9(-2 + 1k) = 3(1k + 4) (-2 * 9 + 1k * 9) = 3(1k + 4) (-18 + 9k) = 3(1k + 4) Reorder the terms: -18 + 9k = 3(4 + 1k) -18 + 9k = (4 * 3 + 1k * 3) -18 + 9k = (12 + 3k) Solving -18 + 9k = 12 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -18 + 9k + -3k = 12 + 3k + -3k Combine like terms: 9k + -3k = 6k -18 + 6k = 12 + 3k + -3k Combine like terms: 3k + -3k = 0 -18 + 6k = 12 + 0 -18 + 6k = 12 Add '18' to each side of the equation. -18 + 18 + 6k = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 6k = 12 + 18 6k = 12 + 18 Combine like terms: 12 + 18 = 30 6k = 30 Divide each side by '6'. k = 5 Simplifying k = 5
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