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Simplifying 5(-7k + 4) + 8k = 0 Reorder the terms: 5(4 + -7k) + 8k = 0 (4 * 5 + -7k * 5) + 8k = 0 (20 + -35k) + 8k = 0 Combine like terms: -35k + 8k = -27k 20 + -27k = 0 Solving 20 + -27k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -27k = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -27k = 0 + -20 -27k = 0 + -20 Combine like terms: 0 + -20 = -20 -27k = -20 Divide each side by '-27'. k = 0.7407407407 Simplifying k = 0.7407407407
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