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Simplifying -2(4k + -9) + -11k + 8 = 0 Reorder the terms: -2(-9 + 4k) + -11k + 8 = 0 (-9 * -2 + 4k * -2) + -11k + 8 = 0 (18 + -8k) + -11k + 8 = 0 Reorder the terms: 18 + 8 + -8k + -11k = 0 Combine like terms: 18 + 8 = 26 26 + -8k + -11k = 0 Combine like terms: -8k + -11k = -19k 26 + -19k = 0 Solving 26 + -19k = 0 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 + -19k = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -19k = 0 + -26 -19k = 0 + -26 Combine like terms: 0 + -26 = -26 -19k = -26 Divide each side by '-19'. k = 1.368421053 Simplifying k = 1.368421053
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