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Simplifying -6k + -8 + 4 = -12 + -6k + -2k Reorder the terms: -8 + 4 + -6k = -12 + -6k + -2k Combine like terms: -8 + 4 = -4 -4 + -6k = -12 + -6k + -2k Combine like terms: -6k + -2k = -8k -4 + -6k = -12 + -8k Solving -4 + -6k = -12 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. -4 + -6k + 8k = -12 + -8k + 8k Combine like terms: -6k + 8k = 2k -4 + 2k = -12 + -8k + 8k Combine like terms: -8k + 8k = 0 -4 + 2k = -12 + 0 -4 + 2k = -12 Add '4' to each side of the equation. -4 + 4 + 2k = -12 + 4 Combine like terms: -4 + 4 = 0 0 + 2k = -12 + 4 2k = -12 + 4 Combine like terms: -12 + 4 = -8 2k = -8 Divide each side by '2'. k = -4 Simplifying k = -4
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