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Simplifying 9(5k + 2) + 4(7 + -10k) = 0 Reorder the terms: 9(2 + 5k) + 4(7 + -10k) = 0 (2 * 9 + 5k * 9) + 4(7 + -10k) = 0 (18 + 45k) + 4(7 + -10k) = 0 18 + 45k + (7 * 4 + -10k * 4) = 0 18 + 45k + (28 + -40k) = 0 Reorder the terms: 18 + 28 + 45k + -40k = 0 Combine like terms: 18 + 28 = 46 46 + 45k + -40k = 0 Combine like terms: 45k + -40k = 5k 46 + 5k = 0 Solving 46 + 5k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 5k = 0 + -46 Combine like terms: 46 + -46 = 0 0 + 5k = 0 + -46 5k = 0 + -46 Combine like terms: 0 + -46 = -46 5k = -46 Divide each side by '5'. k = -9.2 Simplifying k = -9.2
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