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Simplifying 5(9k + -2) = 0 Reorder the terms: 5(-2 + 9k) = 0 (-2 * 5 + 9k * 5) = 0 (-10 + 45k) = 0 Solving -10 + 45k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 45k = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 45k = 0 + 10 45k = 0 + 10 Combine like terms: 0 + 10 = 10 45k = 10 Divide each side by '45'. k = 0.2222222222 Simplifying k = 0.2222222222
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