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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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