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Simplifying 4K + -5(-4 + -5k) = 0 4K + (-4 * -5 + -5k * -5) = 0 4K + (20 + 25k) = 0 Reorder the terms: 20 + 4K + 25k = 0 Solving 20 + 4K + 25k = 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 + 4K + -20 + 25k = 0 + -20 Reorder the terms: 20 + -20 + 4K + 25k = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 4K + 25k = 0 + -20 4K + 25k = 0 + -20 Combine like terms: 0 + -20 = -20 4K + 25k = -20 Add '-25k' to each side of the equation. 4K + 25k + -25k = -20 + -25k Combine like terms: 25k + -25k = 0 4K + 0 = -20 + -25k 4K = -20 + -25k Divide each side by '4'. K = -5 + -6.25k Simplifying K = -5 + -6.25k
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