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Simplifying 9k + 19 = -3k + -17 Reorder the terms: 19 + 9k = -3k + -17 Reorder the terms: 19 + 9k = -17 + -3k Solving 19 + 9k = -17 + -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 + 9k + 3k = -17 + -3k + 3k Combine like terms: 9k + 3k = 12k 19 + 12k = -17 + -3k + 3k Combine like terms: -3k + 3k = 0 19 + 12k = -17 + 0 19 + 12k = -17 Add '-19' to each side of the equation. 19 + -19 + 12k = -17 + -19 Combine like terms: 19 + -19 = 0 0 + 12k = -17 + -19 12k = -17 + -19 Combine like terms: -17 + -19 = -36 12k = -36 Divide each side by '12'. k = -3 Simplifying k = -3
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