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Simplifying 12k + 19 = 3k + -1 Reorder the terms: 19 + 12k = 3k + -1 Reorder the terms: 19 + 12k = -1 + 3k Solving 19 + 12k = -1 + 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. 19 + 12k + -3k = -1 + 3k + -3k Combine like terms: 12k + -3k = 9k 19 + 9k = -1 + 3k + -3k Combine like terms: 3k + -3k = 0 19 + 9k = -1 + 0 19 + 9k = -1 Add '-19' to each side of the equation. 19 + -19 + 9k = -1 + -19 Combine like terms: 19 + -19 = 0 0 + 9k = -1 + -19 9k = -1 + -19 Combine like terms: -1 + -19 = -20 9k = -20 Divide each side by '9'. k = -2.222222222 Simplifying k = -2.222222222
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