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Simplifying 5K + -10 = 3K + 12 Reorder the terms: -10 + 5K = 3K + 12 Reorder the terms: -10 + 5K = 12 + 3K Solving -10 + 5K = 12 + 3K Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-3K' to each side of the equation. -10 + 5K + -3K = 12 + 3K + -3K Combine like terms: 5K + -3K = 2K -10 + 2K = 12 + 3K + -3K Combine like terms: 3K + -3K = 0 -10 + 2K = 12 + 0 -10 + 2K = 12 Add '10' to each side of the equation. -10 + 10 + 2K = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 2K = 12 + 10 2K = 12 + 10 Combine like terms: 12 + 10 = 22 2K = 22 Divide each side by '2'. K = 11 Simplifying K = 11
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