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Simplifying 8k + -1k + 7 + -5k = 19 Reorder the terms: 7 + 8k + -1k + -5k = 19 Combine like terms: 8k + -1k = 7k 7 + 7k + -5k = 19 Combine like terms: 7k + -5k = 2k 7 + 2k = 19 Solving 7 + 2k = 19 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2k = 19 + -7 Combine like terms: 7 + -7 = 0 0 + 2k = 19 + -7 2k = 19 + -7 Combine like terms: 19 + -7 = 12 2k = 12 Divide each side by '2'. k = 6 Simplifying k = 6
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