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Simplifying 5(k + -12k + 40) = 0 Reorder the terms: 5(40 + k + -12k) = 0 Combine like terms: k + -12k = -11k 5(40 + -11k) = 0 (40 * 5 + -11k * 5) = 0 (200 + -55k) = 0 Solving 200 + -55k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-200' to each side of the equation. 200 + -200 + -55k = 0 + -200 Combine like terms: 200 + -200 = 0 0 + -55k = 0 + -200 -55k = 0 + -200 Combine like terms: 0 + -200 = -200 -55k = -200 Divide each side by '-55'. k = 3.636363636 Simplifying k = 3.636363636
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