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Simplifying 5(k + 5) + -1(4k + 6) = -4 Reorder the terms: 5(5 + k) + -1(4k + 6) = -4 (5 * 5 + k * 5) + -1(4k + 6) = -4 (25 + 5k) + -1(4k + 6) = -4 Reorder the terms: 25 + 5k + -1(6 + 4k) = -4 25 + 5k + (6 * -1 + 4k * -1) = -4 25 + 5k + (-6 + -4k) = -4 Reorder the terms: 25 + -6 + 5k + -4k = -4 Combine like terms: 25 + -6 = 19 19 + 5k + -4k = -4 Combine like terms: 5k + -4k = 1k 19 + 1k = -4 Solving 19 + 1k = -4 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 1k = -4 + -19 Combine like terms: 19 + -19 = 0 0 + 1k = -4 + -19 1k = -4 + -19 Combine like terms: -4 + -19 = -23 1k = -23 Divide each side by '1'. k = -23 Simplifying k = -23
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