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