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Simplifying 5(k + 2) + 8(6k + 2) = 0 Reorder the terms: 5(2 + k) + 8(6k + 2) = 0 (2 * 5 + k * 5) + 8(6k + 2) = 0 (10 + 5k) + 8(6k + 2) = 0 Reorder the terms: 10 + 5k + 8(2 + 6k) = 0 10 + 5k + (2 * 8 + 6k * 8) = 0 10 + 5k + (16 + 48k) = 0 Reorder the terms: 10 + 16 + 5k + 48k = 0 Combine like terms: 10 + 16 = 26 26 + 5k + 48k = 0 Combine like terms: 5k + 48k = 53k 26 + 53k = 0 Solving 26 + 53k = 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 + 53k = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 53k = 0 + -26 53k = 0 + -26 Combine like terms: 0 + -26 = -26 53k = -26 Divide each side by '53'. k = -0.4905660377 Simplifying k = -0.4905660377
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