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Simplifying 6 = 5(k + -1) + 3 + -4K Reorder the terms: 6 = 5(-1 + k) + 3 + -4K 6 = (-1 * 5 + k * 5) + 3 + -4K 6 = (-5 + 5k) + 3 + -4K Reorder the terms: 6 = -5 + 3 + -4K + 5k Combine like terms: -5 + 3 = -2 6 = -2 + -4K + 5k Solving 6 = -2 + -4K + 5k Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '4K' to each side of the equation. 6 + 4K = -2 + -4K + 4K + 5k Combine like terms: -4K + 4K = 0 6 + 4K = -2 + 0 + 5k 6 + 4K = -2 + 5k Add '-6' to each side of the equation. 6 + -6 + 4K = -2 + -6 + 5k Combine like terms: 6 + -6 = 0 0 + 4K = -2 + -6 + 5k 4K = -2 + -6 + 5k Combine like terms: -2 + -6 = -8 4K = -8 + 5k Divide each side by '4'. K = -2 + 1.25k Simplifying K = -2 + 1.25k
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