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Simplifying -12 = 6k + 8 + 4k Reorder the terms: -12 = 8 + 6k + 4k Combine like terms: 6k + 4k = 10k -12 = 8 + 10k Solving -12 = 8 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. -12 + -10k = 8 + 10k + -10k Combine like terms: 10k + -10k = 0 -12 + -10k = 8 + 0 -12 + -10k = 8 Add '12' to each side of the equation. -12 + 12 + -10k = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -10k = 8 + 12 -10k = 8 + 12 Combine like terms: 8 + 12 = 20 -10k = 20 Divide each side by '-10'. k = -2 Simplifying k = -2
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