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Simplifying -9(k + -9) + -1(-6k + -3) = -4k Reorder the terms: -9(-9 + k) + -1(-6k + -3) = -4k (-9 * -9 + k * -9) + -1(-6k + -3) = -4k (81 + -9k) + -1(-6k + -3) = -4k Reorder the terms: 81 + -9k + -1(-3 + -6k) = -4k 81 + -9k + (-3 * -1 + -6k * -1) = -4k 81 + -9k + (3 + 6k) = -4k Reorder the terms: 81 + 3 + -9k + 6k = -4k Combine like terms: 81 + 3 = 84 84 + -9k + 6k = -4k Combine like terms: -9k + 6k = -3k 84 + -3k = -4k Solving 84 + -3k = -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 84 + -3k + 4k = -4k + 4k Combine like terms: -3k + 4k = 1k 84 + 1k = -4k + 4k Combine like terms: -4k + 4k = 0 84 + 1k = 0 Add '-84' to each side of the equation. 84 + -84 + 1k = 0 + -84 Combine like terms: 84 + -84 = 0 0 + 1k = 0 + -84 1k = 0 + -84 Combine like terms: 0 + -84 = -84 1k = -84 Divide each side by '1'. k = -84 Simplifying k = -84
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