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Simplifying 8(k + 9) + -1(7k + 5) = -5 Reorder the terms: 8(9 + k) + -1(7k + 5) = -5 (9 * 8 + k * 8) + -1(7k + 5) = -5 (72 + 8k) + -1(7k + 5) = -5 Reorder the terms: 72 + 8k + -1(5 + 7k) = -5 72 + 8k + (5 * -1 + 7k * -1) = -5 72 + 8k + (-5 + -7k) = -5 Reorder the terms: 72 + -5 + 8k + -7k = -5 Combine like terms: 72 + -5 = 67 67 + 8k + -7k = -5 Combine like terms: 8k + -7k = 1k 67 + 1k = -5 Solving 67 + 1k = -5 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-67' to each side of the equation. 67 + -67 + 1k = -5 + -67 Combine like terms: 67 + -67 = 0 0 + 1k = -5 + -67 1k = -5 + -67 Combine like terms: -5 + -67 = -72 1k = -72 Divide each side by '1'. k = -72 Simplifying k = -72
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