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Simplifying 5(k + -4) + -1(4k + 6) = -9 Reorder the terms: 5(-4 + k) + -1(4k + 6) = -9 (-4 * 5 + k * 5) + -1(4k + 6) = -9 (-20 + 5k) + -1(4k + 6) = -9 Reorder the terms: -20 + 5k + -1(6 + 4k) = -9 -20 + 5k + (6 * -1 + 4k * -1) = -9 -20 + 5k + (-6 + -4k) = -9 Reorder the terms: -20 + -6 + 5k + -4k = -9 Combine like terms: -20 + -6 = -26 -26 + 5k + -4k = -9 Combine like terms: 5k + -4k = 1k -26 + 1k = -9 Solving -26 + 1k = -9 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 = -9 + 26 Combine like terms: -26 + 26 = 0 0 + 1k = -9 + 26 1k = -9 + 26 Combine like terms: -9 + 26 = 17 1k = 17 Divide each side by '1'. k = 17 Simplifying k = 17
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