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Simplifying 5(9k + 2) + 8 + 4k = 0 Reorder the terms: 5(2 + 9k) + 8 + 4k = 0 (2 * 5 + 9k * 5) + 8 + 4k = 0 (10 + 45k) + 8 + 4k = 0 Reorder the terms: 10 + 8 + 45k + 4k = 0 Combine like terms: 10 + 8 = 18 18 + 45k + 4k = 0 Combine like terms: 45k + 4k = 49k 18 + 49k = 0 Solving 18 + 49k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 49k = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 49k = 0 + -18 49k = 0 + -18 Combine like terms: 0 + -18 = -18 49k = -18 Divide each side by '49'. k = -0.3673469388 Simplifying k = -0.3673469388
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