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