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Simplifying -6k = -2(2k + -6) + k Reorder the terms: -6k = -2(-6 + 2k) + k -6k = (-6 * -2 + 2k * -2) + k -6k = (12 + -4k) + k Combine like terms: -4k + k = -3k -6k = 12 + -3k Solving -6k = 12 + -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. -6k + 3k = 12 + -3k + 3k Combine like terms: -6k + 3k = -3k -3k = 12 + -3k + 3k Combine like terms: -3k + 3k = 0 -3k = 12 + 0 -3k = 12 Divide each side by '-3'. k = -4 Simplifying k = -4
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