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Simplifying k + -2 = -5k + 4k + -12 Reorder the terms: -2 + k = -5k + 4k + -12 Reorder the terms: -2 + k = -12 + -5k + 4k Combine like terms: -5k + 4k = -1k -2 + k = -12 + -1k Solving -2 + k = -12 + -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. -2 + k + k = -12 + -1k + k Combine like terms: k + k = 2k -2 + 2k = -12 + -1k + k Combine like terms: -1k + k = 0 -2 + 2k = -12 + 0 -2 + 2k = -12 Add '2' to each side of the equation. -2 + 2 + 2k = -12 + 2 Combine like terms: -2 + 2 = 0 0 + 2k = -12 + 2 2k = -12 + 2 Combine like terms: -12 + 2 = -10 2k = -10 Divide each side by '2'. k = -5 Simplifying k = -5
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