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Simplifying 8 + 3 + 8k + k = 1 + -1k + 8k Combine like terms: 8 + 3 = 11 11 + 8k + k = 1 + -1k + 8k Combine like terms: 8k + k = 9k 11 + 9k = 1 + -1k + 8k Combine like terms: -1k + 8k = 7k 11 + 9k = 1 + 7k Solving 11 + 9k = 1 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. 11 + 9k + -7k = 1 + 7k + -7k Combine like terms: 9k + -7k = 2k 11 + 2k = 1 + 7k + -7k Combine like terms: 7k + -7k = 0 11 + 2k = 1 + 0 11 + 2k = 1 Add '-11' to each side of the equation. 11 + -11 + 2k = 1 + -11 Combine like terms: 11 + -11 = 0 0 + 2k = 1 + -11 2k = 1 + -11 Combine like terms: 1 + -11 = -10 2k = -10 Divide each side by '2'. k = -5 Simplifying k = -5
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