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Simplifying -4 = 4k + -2 + -2k Reorder the terms: -4 = -2 + 4k + -2k Combine like terms: 4k + -2k = 2k -4 = -2 + 2k Solving -4 = -2 + 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. -4 + -2k = -2 + 2k + -2k Combine like terms: 2k + -2k = 0 -4 + -2k = -2 + 0 -4 + -2k = -2 Add '4' to each side of the equation. -4 + 4 + -2k = -2 + 4 Combine like terms: -4 + 4 = 0 0 + -2k = -2 + 4 -2k = -2 + 4 Combine like terms: -2 + 4 = 2 -2k = 2 Divide each side by '-2'. k = -1 Simplifying k = -1
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