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Simplifying 6(k + 4) + -1(5 + 9k) = -4k Reorder the terms: 6(4 + k) + -1(5 + 9k) = -4k (4 * 6 + k * 6) + -1(5 + 9k) = -4k (24 + 6k) + -1(5 + 9k) = -4k 24 + 6k + (5 * -1 + 9k * -1) = -4k 24 + 6k + (-5 + -9k) = -4k Reorder the terms: 24 + -5 + 6k + -9k = -4k Combine like terms: 24 + -5 = 19 19 + 6k + -9k = -4k Combine like terms: 6k + -9k = -3k 19 + -3k = -4k Solving 19 + -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. 19 + -3k + 4k = -4k + 4k Combine like terms: -3k + 4k = 1k 19 + 1k = -4k + 4k Combine like terms: -4k + 4k = 0 19 + 1k = 0 Add '-19' to each side of the equation. 19 + -19 + 1k = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 1k = 0 + -19 1k = 0 + -19 Combine like terms: 0 + -19 = -19 1k = -19 Divide each side by '1'. k = -19 Simplifying k = -19
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