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Simplifying 5(k + 7) + -1(4k + 9) = 2 Reorder the terms: 5(7 + k) + -1(4k + 9) = 2 (7 * 5 + k * 5) + -1(4k + 9) = 2 (35 + 5k) + -1(4k + 9) = 2 Reorder the terms: 35 + 5k + -1(9 + 4k) = 2 35 + 5k + (9 * -1 + 4k * -1) = 2 35 + 5k + (-9 + -4k) = 2 Reorder the terms: 35 + -9 + 5k + -4k = 2 Combine like terms: 35 + -9 = 26 26 + 5k + -4k = 2 Combine like terms: 5k + -4k = 1k 26 + 1k = 2 Solving 26 + 1k = 2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 1k = 2 + -26 Combine like terms: 26 + -26 = 0 0 + 1k = 2 + -26 1k = 2 + -26 Combine like terms: 2 + -26 = -24 1k = -24 Divide each side by '1'. k = -24 Simplifying k = -24
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