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Simplifying -1(4k + -6) = -8 + 6(-1k + 2) Reorder the terms: -1(-6 + 4k) = -8 + 6(-1k + 2) (-6 * -1 + 4k * -1) = -8 + 6(-1k + 2) (6 + -4k) = -8 + 6(-1k + 2) Reorder the terms: 6 + -4k = -8 + 6(2 + -1k) 6 + -4k = -8 + (2 * 6 + -1k * 6) 6 + -4k = -8 + (12 + -6k) Combine like terms: -8 + 12 = 4 6 + -4k = 4 + -6k Solving 6 + -4k = 4 + -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. 6 + -4k + 6k = 4 + -6k + 6k Combine like terms: -4k + 6k = 2k 6 + 2k = 4 + -6k + 6k Combine like terms: -6k + 6k = 0 6 + 2k = 4 + 0 6 + 2k = 4 Add '-6' to each side of the equation. 6 + -6 + 2k = 4 + -6 Combine like terms: 6 + -6 = 0 0 + 2k = 4 + -6 2k = 4 + -6 Combine like terms: 4 + -6 = -2 2k = -2 Divide each side by '2'. k = -1 Simplifying k = -1
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