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Simplifying -2k + 5.1 + 4.3k + 0.1K + -3 = 0 Reorder the terms: 5.1 + -3 + 0.1K + -2k + 4.3k = 0 Combine like terms: 5.1 + -3 = 2.1 2.1 + 0.1K + -2k + 4.3k = 0 Combine like terms: -2k + 4.3k = 2.3k 2.1 + 0.1K + 2.3k = 0 Solving 2.1 + 0.1K + 2.3k = 0 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-2.1' to each side of the equation. 2.1 + 0.1K + -2.1 + 2.3k = 0 + -2.1 Reorder the terms: 2.1 + -2.1 + 0.1K + 2.3k = 0 + -2.1 Combine like terms: 2.1 + -2.1 = 0.0 0.0 + 0.1K + 2.3k = 0 + -2.1 0.1K + 2.3k = 0 + -2.1 Combine like terms: 0 + -2.1 = -2.1 0.1K + 2.3k = -2.1 Add '-2.3k' to each side of the equation. 0.1K + 2.3k + -2.3k = -2.1 + -2.3k Combine like terms: 2.3k + -2.3k = 0.0 0.1K + 0.0 = -2.1 + -2.3k 0.1K = -2.1 + -2.3k Divide each side by '0.1'. K = -21 + -23k Simplifying K = -21 + -23k
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