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Simplifying 6k + 3 + -7K + -5 = 2k + -8 Reorder the terms: 3 + -5 + -7K + 6k = 2k + -8 Combine like terms: 3 + -5 = -2 -2 + -7K + 6k = 2k + -8 Reorder the terms: -2 + -7K + 6k = -8 + 2k Solving -2 + -7K + 6k = -8 + 2k Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -7K + 2 + 6k = -8 + 2 + 2k Reorder the terms: -2 + 2 + -7K + 6k = -8 + 2 + 2k Combine like terms: -2 + 2 = 0 0 + -7K + 6k = -8 + 2 + 2k -7K + 6k = -8 + 2 + 2k Combine like terms: -8 + 2 = -6 -7K + 6k = -6 + 2k Add '-6k' to each side of the equation. -7K + 6k + -6k = -6 + 2k + -6k Combine like terms: 6k + -6k = 0 -7K + 0 = -6 + 2k + -6k -7K = -6 + 2k + -6k Combine like terms: 2k + -6k = -4k -7K = -6 + -4k Divide each side by '-7'. K = 0.8571428571 + 0.5714285714k Simplifying K = 0.8571428571 + 0.5714285714k
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