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