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Simplifying -1k + 2(-2k + 5) = 0 Reorder the terms: -1k + 2(5 + -2k) = 0 -1k + (5 * 2 + -2k * 2) = 0 -1k + (10 + -4k) = 0 Reorder the terms: 10 + -1k + -4k = 0 Combine like terms: -1k + -4k = -5k 10 + -5k = 0 Solving 10 + -5k = 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 + -5k = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -5k = 0 + -10 -5k = 0 + -10 Combine like terms: 0 + -10 = -10 -5k = -10 Divide each side by '-5'. k = 2 Simplifying k = 2
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