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Simplifying -12 + k + 8 + -6k = k + -4 Reorder the terms: -12 + 8 + k + -6k = k + -4 Combine like terms: -12 + 8 = -4 -4 + k + -6k = k + -4 Combine like terms: k + -6k = -5k -4 + -5k = k + -4 Reorder the terms: -4 + -5k = -4 + k Add '4' to each side of the equation. -4 + 4 + -5k = -4 + 4 + k Combine like terms: -4 + 4 = 0 0 + -5k = -4 + 4 + k -5k = -4 + 4 + k Combine like terms: -4 + 4 = 0 -5k = 0 + k -5k = k Solving -5k = k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -5k + -1k = k + -1k Combine like terms: -5k + -1k = -6k -6k = k + -1k Combine like terms: k + -1k = 0 -6k = 0 Divide each side by '-6'. k = 0 Simplifying k = 0
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