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