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Simplifying -1(3k + -9) = -1(5 + -6k) + -7k Reorder the terms: -1(-9 + 3k) = -1(5 + -6k) + -7k (-9 * -1 + 3k * -1) = -1(5 + -6k) + -7k (9 + -3k) = -1(5 + -6k) + -7k 9 + -3k = (5 * -1 + -6k * -1) + -7k 9 + -3k = (-5 + 6k) + -7k Combine like terms: 6k + -7k = -1k 9 + -3k = -5 + -1k Solving 9 + -3k = -5 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 9 + -3k + k = -5 + -1k + k Combine like terms: -3k + k = -2k 9 + -2k = -5 + -1k + k Combine like terms: -1k + k = 0 9 + -2k = -5 + 0 9 + -2k = -5 Add '-9' to each side of the equation. 9 + -9 + -2k = -5 + -9 Combine like terms: 9 + -9 = 0 0 + -2k = -5 + -9 -2k = -5 + -9 Combine like terms: -5 + -9 = -14 -2k = -14 Divide each side by '-2'. k = 7 Simplifying k = 7
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