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Simplifying k + -4 + -2k = -12 + 3k + -8 Reorder the terms: -4 + k + -2k = -12 + 3k + -8 Combine like terms: k + -2k = -1k -4 + -1k = -12 + 3k + -8 Reorder the terms: -4 + -1k = -12 + -8 + 3k Combine like terms: -12 + -8 = -20 -4 + -1k = -20 + 3k Solving -4 + -1k = -20 + 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. -4 + -1k + -3k = -20 + 3k + -3k Combine like terms: -1k + -3k = -4k -4 + -4k = -20 + 3k + -3k Combine like terms: 3k + -3k = 0 -4 + -4k = -20 + 0 -4 + -4k = -20 Add '4' to each side of the equation. -4 + 4 + -4k = -20 + 4 Combine like terms: -4 + 4 = 0 0 + -4k = -20 + 4 -4k = -20 + 4 Combine like terms: -20 + 4 = -16 -4k = -16 Divide each side by '-4'. k = 4 Simplifying k = 4
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