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Simplifying -10(4k + 1) = 0 Reorder the terms: -10(1 + 4k) = 0 (1 * -10 + 4k * -10) = 0 (-10 + -40k) = 0 Solving -10 + -40k = 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 + -40k = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -40k = 0 + 10 -40k = 0 + 10 Combine like terms: 0 + 10 = 10 -40k = 10 Divide each side by '-40'. k = -0.25 Simplifying k = -0.25
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