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Simplifying k + -6(-1k + -6) = -3(-1k + -8) Reorder the terms: k + -6(-6 + -1k) = -3(-1k + -8) k + (-6 * -6 + -1k * -6) = -3(-1k + -8) k + (36 + 6k) = -3(-1k + -8) Reorder the terms: 36 + k + 6k = -3(-1k + -8) Combine like terms: k + 6k = 7k 36 + 7k = -3(-1k + -8) Reorder the terms: 36 + 7k = -3(-8 + -1k) 36 + 7k = (-8 * -3 + -1k * -3) 36 + 7k = (24 + 3k) Solving 36 + 7k = 24 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 36 + 7k + -3k = 24 + 3k + -3k Combine like terms: 7k + -3k = 4k 36 + 4k = 24 + 3k + -3k Combine like terms: 3k + -3k = 0 36 + 4k = 24 + 0 36 + 4k = 24 Add '-36' to each side of the equation. 36 + -36 + 4k = 24 + -36 Combine like terms: 36 + -36 = 0 0 + 4k = 24 + -36 4k = 24 + -36 Combine like terms: 24 + -36 = -12 4k = -12 Divide each side by '4'. k = -3 Simplifying k = -3
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