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Simplifying -1(3k + -6) = -4 + -1k Reorder the terms: -1(-6 + 3k) = -4 + -1k (-6 * -1 + 3k * -1) = -4 + -1k (6 + -3k) = -4 + -1k Solving 6 + -3k = -4 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 6 + -3k + k = -4 + -1k + k Combine like terms: -3k + k = -2k 6 + -2k = -4 + -1k + k Combine like terms: -1k + k = 0 6 + -2k = -4 + 0 6 + -2k = -4 Add '-6' to each side of the equation. 6 + -6 + -2k = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -2k = -4 + -6 -2k = -4 + -6 Combine like terms: -4 + -6 = -10 -2k = -10 Divide each side by '-2'. k = 5 Simplifying k = 5
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