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