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Simplifying 6k + -1(4k + -5) = 0 Reorder the terms: 6k + -1(-5 + 4k) = 0 6k + (-5 * -1 + 4k * -1) = 0 6k + (5 + -4k) = 0 Reorder the terms: 5 + 6k + -4k = 0 Combine like terms: 6k + -4k = 2k 5 + 2k = 0 Solving 5 + 2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2k = 0 + -5 2k = 0 + -5 Combine like terms: 0 + -5 = -5 2k = -5 Divide each side by '2'. k = -2.5 Simplifying k = -2.5
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