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Simplifying K + -1(4 + -2k + -3r) = 5r + -1k K + (4 * -1 + -2k * -1 + -3r * -1) = 5r + -1k K + (-4 + 2k + 3r) = 5r + -1k Reorder the terms: -4 + K + 2k + 3r = 5r + -1k Reorder the terms: -4 + K + 2k + 3r = -1k + 5r Solving -4 + K + 2k + 3r = -1k + 5r Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '4' to each side of the equation. -4 + K + 2k + 4 + 3r = -1k + 4 + 5r Reorder the terms: -4 + 4 + K + 2k + 3r = -1k + 4 + 5r Combine like terms: -4 + 4 = 0 0 + K + 2k + 3r = -1k + 4 + 5r K + 2k + 3r = -1k + 4 + 5r Reorder the terms: K + 2k + 3r = 4 + -1k + 5r Add '-2k' to each side of the equation. K + 2k + -2k + 3r = 4 + -1k + -2k + 5r Combine like terms: 2k + -2k = 0 K + 0 + 3r = 4 + -1k + -2k + 5r K + 3r = 4 + -1k + -2k + 5r Combine like terms: -1k + -2k = -3k K + 3r = 4 + -3k + 5r Add '-3r' to each side of the equation. K + 3r + -3r = 4 + -3k + 5r + -3r Combine like terms: 3r + -3r = 0 K + 0 = 4 + -3k + 5r + -3r K = 4 + -3k + 5r + -3r Combine like terms: 5r + -3r = 2r K = 4 + -3k + 2r Simplifying K = 4 + -3k + 2r
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