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Simplifying 8(k + 9) + -1(7k + -4) = -3 Reorder the terms: 8(9 + k) + -1(7k + -4) = -3 (9 * 8 + k * 8) + -1(7k + -4) = -3 (72 + 8k) + -1(7k + -4) = -3 Reorder the terms: 72 + 8k + -1(-4 + 7k) = -3 72 + 8k + (-4 * -1 + 7k * -1) = -3 72 + 8k + (4 + -7k) = -3 Reorder the terms: 72 + 4 + 8k + -7k = -3 Combine like terms: 72 + 4 = 76 76 + 8k + -7k = -3 Combine like terms: 8k + -7k = 1k 76 + 1k = -3 Solving 76 + 1k = -3 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-76' to each side of the equation. 76 + -76 + 1k = -3 + -76 Combine like terms: 76 + -76 = 0 0 + 1k = -3 + -76 1k = -3 + -76 Combine like terms: -3 + -76 = -79 1k = -79 Divide each side by '1'. k = -79 Simplifying k = -79
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