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Simplifying 7(k + 8) + -1(6k + 5) = 8 Reorder the terms: 7(8 + k) + -1(6k + 5) = 8 (8 * 7 + k * 7) + -1(6k + 5) = 8 (56 + 7k) + -1(6k + 5) = 8 Reorder the terms: 56 + 7k + -1(5 + 6k) = 8 56 + 7k + (5 * -1 + 6k * -1) = 8 56 + 7k + (-5 + -6k) = 8 Reorder the terms: 56 + -5 + 7k + -6k = 8 Combine like terms: 56 + -5 = 51 51 + 7k + -6k = 8 Combine like terms: 7k + -6k = 1k 51 + 1k = 8 Solving 51 + 1k = 8 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + 1k = 8 + -51 Combine like terms: 51 + -51 = 0 0 + 1k = 8 + -51 1k = 8 + -51 Combine like terms: 8 + -51 = -43 1k = -43 Divide each side by '1'. k = -43 Simplifying k = -43
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