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Simplifying 4(2 + -1k) = -1(6k + -5) (2 * 4 + -1k * 4) = -1(6k + -5) (8 + -4k) = -1(6k + -5) Reorder the terms: 8 + -4k = -1(-5 + 6k) 8 + -4k = (-5 * -1 + 6k * -1) 8 + -4k = (5 + -6k) Solving 8 + -4k = 5 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 8 + -4k + 6k = 5 + -6k + 6k Combine like terms: -4k + 6k = 2k 8 + 2k = 5 + -6k + 6k Combine like terms: -6k + 6k = 0 8 + 2k = 5 + 0 8 + 2k = 5 Add '-8' to each side of the equation. 8 + -8 + 2k = 5 + -8 Combine like terms: 8 + -8 = 0 0 + 2k = 5 + -8 2k = 5 + -8 Combine like terms: 5 + -8 = -3 2k = -3 Divide each side by '2'. k = -1.5 Simplifying k = -1.5
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