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Simplifying -5(k + -7) + -1(9 + -7k) = k Reorder the terms: -5(-7 + k) + -1(9 + -7k) = k (-7 * -5 + k * -5) + -1(9 + -7k) = k (35 + -5k) + -1(9 + -7k) = k 35 + -5k + (9 * -1 + -7k * -1) = k 35 + -5k + (-9 + 7k) = k Reorder the terms: 35 + -9 + -5k + 7k = k Combine like terms: 35 + -9 = 26 26 + -5k + 7k = k Combine like terms: -5k + 7k = 2k 26 + 2k = k Solving 26 + 2k = k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 26 + 2k + -1k = k + -1k Combine like terms: 2k + -1k = 1k 26 + 1k = k + -1k Combine like terms: k + -1k = 0 26 + 1k = 0 Add '-26' to each side of the equation. 26 + -26 + 1k = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 1k = 0 + -26 1k = 0 + -26 Combine like terms: 0 + -26 = -26 1k = -26 Divide each side by '1'. k = -26 Simplifying k = -26
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