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Simplifying 5k + 4 = k + 13 Reorder the terms: 4 + 5k = k + 13 Reorder the terms: 4 + 5k = 13 + k Solving 4 + 5k = 13 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 4 + 5k + -1k = 13 + k + -1k Combine like terms: 5k + -1k = 4k 4 + 4k = 13 + k + -1k Combine like terms: k + -1k = 0 4 + 4k = 13 + 0 4 + 4k = 13 Add '-4' to each side of the equation. 4 + -4 + 4k = 13 + -4 Combine like terms: 4 + -4 = 0 0 + 4k = 13 + -4 4k = 13 + -4 Combine like terms: 13 + -4 = 9 4k = 9 Divide each side by '4'. k = 2.25 Simplifying k = 2.25
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