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Simplifying -1k + -2k + 19 = k + 4 + -9k Reorder the terms: 19 + -1k + -2k = k + 4 + -9k Combine like terms: -1k + -2k = -3k 19 + -3k = k + 4 + -9k Reorder the terms: 19 + -3k = 4 + k + -9k Combine like terms: k + -9k = -8k 19 + -3k = 4 + -8k Solving 19 + -3k = 4 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 19 + -3k + 8k = 4 + -8k + 8k Combine like terms: -3k + 8k = 5k 19 + 5k = 4 + -8k + 8k Combine like terms: -8k + 8k = 0 19 + 5k = 4 + 0 19 + 5k = 4 Add '-19' to each side of the equation. 19 + -19 + 5k = 4 + -19 Combine like terms: 19 + -19 = 0 0 + 5k = 4 + -19 5k = 4 + -19 Combine like terms: 4 + -19 = -15 5k = -15 Divide each side by '5'. k = -3 Simplifying k = -3
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