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Simplifying 7(k + 4) + -1(6k + -5) = 9 Reorder the terms: 7(4 + k) + -1(6k + -5) = 9 (4 * 7 + k * 7) + -1(6k + -5) = 9 (28 + 7k) + -1(6k + -5) = 9 Reorder the terms: 28 + 7k + -1(-5 + 6k) = 9 28 + 7k + (-5 * -1 + 6k * -1) = 9 28 + 7k + (5 + -6k) = 9 Reorder the terms: 28 + 5 + 7k + -6k = 9 Combine like terms: 28 + 5 = 33 33 + 7k + -6k = 9 Combine like terms: 7k + -6k = 1k 33 + 1k = 9 Solving 33 + 1k = 9 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 1k = 9 + -33 Combine like terms: 33 + -33 = 0 0 + 1k = 9 + -33 1k = 9 + -33 Combine like terms: 9 + -33 = -24 1k = -24 Divide each side by '1'. k = -24 Simplifying k = -24
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