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Simplifying 4K + -10 + 2k + -6 = 4 + 4k + 10 Reorder the terms: -10 + -6 + 4K + 2k = 4 + 4k + 10 Combine like terms: -10 + -6 = -16 -16 + 4K + 2k = 4 + 4k + 10 Reorder the terms: -16 + 4K + 2k = 4 + 10 + 4k Combine like terms: 4 + 10 = 14 -16 + 4K + 2k = 14 + 4k Solving -16 + 4K + 2k = 14 + 4k Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 4K + 16 + 2k = 14 + 16 + 4k Reorder the terms: -16 + 16 + 4K + 2k = 14 + 16 + 4k Combine like terms: -16 + 16 = 0 0 + 4K + 2k = 14 + 16 + 4k 4K + 2k = 14 + 16 + 4k Combine like terms: 14 + 16 = 30 4K + 2k = 30 + 4k Add '-2k' to each side of the equation. 4K + 2k + -2k = 30 + 4k + -2k Combine like terms: 2k + -2k = 0 4K + 0 = 30 + 4k + -2k 4K = 30 + 4k + -2k Combine like terms: 4k + -2k = 2k 4K = 30 + 2k Divide each side by '4'. K = 7.5 + 0.5k Simplifying K = 7.5 + 0.5k
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