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Simplifying 2k + -5(8k + -2) = 0 Reorder the terms: 2k + -5(-2 + 8k) = 0 2k + (-2 * -5 + 8k * -5) = 0 2k + (10 + -40k) = 0 Reorder the terms: 10 + 2k + -40k = 0 Combine like terms: 2k + -40k = -38k 10 + -38k = 0 Solving 10 + -38k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -38k = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -38k = 0 + -10 -38k = 0 + -10 Combine like terms: 0 + -10 = -10 -38k = -10 Divide each side by '-38'. k = 0.2631578947 Simplifying k = 0.2631578947
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