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Simplifying 7k + k + 19 = 3k + -31 Reorder the terms: 19 + 7k + k = 3k + -31 Combine like terms: 7k + k = 8k 19 + 8k = 3k + -31 Reorder the terms: 19 + 8k = -31 + 3k Solving 19 + 8k = -31 + 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 + 8k + -3k = -31 + 3k + -3k Combine like terms: 8k + -3k = 5k 19 + 5k = -31 + 3k + -3k Combine like terms: 3k + -3k = 0 19 + 5k = -31 + 0 19 + 5k = -31 Add '-19' to each side of the equation. 19 + -19 + 5k = -31 + -19 Combine like terms: 19 + -19 = 0 0 + 5k = -31 + -19 5k = -31 + -19 Combine like terms: -31 + -19 = -50 5k = -50 Divide each side by '5'. k = -10 Simplifying k = -10
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