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Simplifying 8(k + 9) + -1(7k + 8) = -6 Reorder the terms: 8(9 + k) + -1(7k + 8) = -6 (9 * 8 + k * 8) + -1(7k + 8) = -6 (72 + 8k) + -1(7k + 8) = -6 Reorder the terms: 72 + 8k + -1(8 + 7k) = -6 72 + 8k + (8 * -1 + 7k * -1) = -6 72 + 8k + (-8 + -7k) = -6 Reorder the terms: 72 + -8 + 8k + -7k = -6 Combine like terms: 72 + -8 = 64 64 + 8k + -7k = -6 Combine like terms: 8k + -7k = 1k 64 + 1k = -6 Solving 64 + 1k = -6 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + 1k = -6 + -64 Combine like terms: 64 + -64 = 0 0 + 1k = -6 + -64 1k = -6 + -64 Combine like terms: -6 + -64 = -70 1k = -70 Divide each side by '1'. k = -70 Simplifying k = -70
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