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Simplifying -1(-6 + k) = 27 + -4k (-6 * -1 + k * -1) = 27 + -4k (6 + -1k) = 27 + -4k Solving 6 + -1k = 27 + -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. 6 + -1k + 4k = 27 + -4k + 4k Combine like terms: -1k + 4k = 3k 6 + 3k = 27 + -4k + 4k Combine like terms: -4k + 4k = 0 6 + 3k = 27 + 0 6 + 3k = 27 Add '-6' to each side of the equation. 6 + -6 + 3k = 27 + -6 Combine like terms: 6 + -6 = 0 0 + 3k = 27 + -6 3k = 27 + -6 Combine like terms: 27 + -6 = 21 3k = 21 Divide each side by '3'. k = 7 Simplifying k = 7
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