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Simplifying (5k + -10) * 9 = 0 Reorder the terms: (-10 + 5k) * 9 = 0 Reorder the terms for easier multiplication: 9(-10 + 5k) = 0 (-10 * 9 + 5k * 9) = 0 (-90 + 45k) = 0 Solving -90 + 45k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '90' to each side of the equation. -90 + 90 + 45k = 0 + 90 Combine like terms: -90 + 90 = 0 0 + 45k = 0 + 90 45k = 0 + 90 Combine like terms: 0 + 90 = 90 45k = 90 Divide each side by '45'. k = 2 Simplifying k = 2
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