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Simplifying 13 + 2k = 3k + 4K + -3 Reorder the terms: 13 + 2k = -3 + 4K + 3k Solving 13 + 2k = -3 + 4K + 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. 13 + 2k + -3k = -3 + 4K + 3k + -3k Combine like terms: 2k + -3k = -1k 13 + -1k = -3 + 4K + 3k + -3k Combine like terms: 3k + -3k = 0 13 + -1k = -3 + 4K + 0 13 + -1k = -3 + 4K Add '-13' to each side of the equation. 13 + -13 + -1k = -3 + -13 + 4K Combine like terms: 13 + -13 = 0 0 + -1k = -3 + -13 + 4K -1k = -3 + -13 + 4K Combine like terms: -3 + -13 = -16 -1k = -16 + 4K Divide each side by '-1'. k = 16 + -4K Simplifying k = 16 + -4K
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