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Simplifying -4K + 8 + -7 + -12 = 1 + 6k + -8k Reorder the terms: 8 + -7 + -12 + -4K = 1 + 6k + -8k Combine like terms: 8 + -7 = 1 1 + -12 + -4K = 1 + 6k + -8k Combine like terms: 1 + -12 = -11 -11 + -4K = 1 + 6k + -8k Combine like terms: 6k + -8k = -2k -11 + -4K = 1 + -2k Solving -11 + -4K = 1 + -2k Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -4K = 1 + 11 + -2k Combine like terms: -11 + 11 = 0 0 + -4K = 1 + 11 + -2k -4K = 1 + 11 + -2k Combine like terms: 1 + 11 = 12 -4K = 12 + -2k Divide each side by '-4'. K = -3 + 0.5k Simplifying K = -3 + 0.5k
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