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Simplifying 5(3k + 2) + 4K = 14k + -12 + 7k + -2 + -2k Reorder the terms: 5(2 + 3k) + 4K = 14k + -12 + 7k + -2 + -2k (2 * 5 + 3k * 5) + 4K = 14k + -12 + 7k + -2 + -2k (10 + 15k) + 4K = 14k + -12 + 7k + -2 + -2k Reorder the terms: 10 + 4K + 15k = 14k + -12 + 7k + -2 + -2k Reorder the terms: 10 + 4K + 15k = -12 + -2 + 14k + 7k + -2k Combine like terms: -12 + -2 = -14 10 + 4K + 15k = -14 + 14k + 7k + -2k Combine like terms: 14k + 7k = 21k 10 + 4K + 15k = -14 + 21k + -2k Combine like terms: 21k + -2k = 19k 10 + 4K + 15k = -14 + 19k Solving 10 + 4K + 15k = -14 + 19k Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 4K + -10 + 15k = -14 + -10 + 19k Reorder the terms: 10 + -10 + 4K + 15k = -14 + -10 + 19k Combine like terms: 10 + -10 = 0 0 + 4K + 15k = -14 + -10 + 19k 4K + 15k = -14 + -10 + 19k Combine like terms: -14 + -10 = -24 4K + 15k = -24 + 19k Add '-15k' to each side of the equation. 4K + 15k + -15k = -24 + 19k + -15k Combine like terms: 15k + -15k = 0 4K + 0 = -24 + 19k + -15k 4K = -24 + 19k + -15k Combine like terms: 19k + -15k = 4k 4K = -24 + 4k Divide each side by '4'. K = -6 + k Simplifying K = -6 + k
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