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Simplifying -4(k + -9) + -1(-5k + -9) = 9 Reorder the terms: -4(-9 + k) + -1(-5k + -9) = 9 (-9 * -4 + k * -4) + -1(-5k + -9) = 9 (36 + -4k) + -1(-5k + -9) = 9 Reorder the terms: 36 + -4k + -1(-9 + -5k) = 9 36 + -4k + (-9 * -1 + -5k * -1) = 9 36 + -4k + (9 + 5k) = 9 Reorder the terms: 36 + 9 + -4k + 5k = 9 Combine like terms: 36 + 9 = 45 45 + -4k + 5k = 9 Combine like terms: -4k + 5k = 1k 45 + 1k = 9 Solving 45 + 1k = 9 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 1k = 9 + -45 Combine like terms: 45 + -45 = 0 0 + 1k = 9 + -45 1k = 9 + -45 Combine like terms: 9 + -45 = -36 1k = -36 Divide each side by '1'. k = -36 Simplifying k = -36
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