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Simplifying (9k + -2) * 2 = 0 Reorder the terms: (-2 + 9k) * 2 = 0 Reorder the terms for easier multiplication: 2(-2 + 9k) = 0 (-2 * 2 + 9k * 2) = 0 (-4 + 18k) = 0 Solving -4 + 18k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 18k = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 18k = 0 + 4 18k = 0 + 4 Combine like terms: 0 + 4 = 4 18k = 4 Divide each side by '18'. k = 0.2222222222 Simplifying k = 0.2222222222
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