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Simplifying 5k + 4 = 2k + 13 Reorder the terms: 4 + 5k = 2k + 13 Reorder the terms: 4 + 5k = 13 + 2k Solving 4 + 5k = 13 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 4 + 5k + -2k = 13 + 2k + -2k Combine like terms: 5k + -2k = 3k 4 + 3k = 13 + 2k + -2k Combine like terms: 2k + -2k = 0 4 + 3k = 13 + 0 4 + 3k = 13 Add '-4' to each side of the equation. 4 + -4 + 3k = 13 + -4 Combine like terms: 4 + -4 = 0 0 + 3k = 13 + -4 3k = 13 + -4 Combine like terms: 13 + -4 = 9 3k = 9 Divide each side by '3'. k = 3 Simplifying k = 3
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