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Simplifying -6(k + -9) + -1(2 + -3k) = -4k Reorder the terms: -6(-9 + k) + -1(2 + -3k) = -4k (-9 * -6 + k * -6) + -1(2 + -3k) = -4k (54 + -6k) + -1(2 + -3k) = -4k 54 + -6k + (2 * -1 + -3k * -1) = -4k 54 + -6k + (-2 + 3k) = -4k Reorder the terms: 54 + -2 + -6k + 3k = -4k Combine like terms: 54 + -2 = 52 52 + -6k + 3k = -4k Combine like terms: -6k + 3k = -3k 52 + -3k = -4k Solving 52 + -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. 52 + -3k + 4k = -4k + 4k Combine like terms: -3k + 4k = 1k 52 + 1k = -4k + 4k Combine like terms: -4k + 4k = 0 52 + 1k = 0 Add '-52' to each side of the equation. 52 + -52 + 1k = 0 + -52 Combine like terms: 52 + -52 = 0 0 + 1k = 0 + -52 1k = 0 + -52 Combine like terms: 0 + -52 = -52 1k = -52 Divide each side by '1'. k = -52 Simplifying k = -52
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