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Simplifying k + 5 = 28 + -2k Reorder the terms: 5 + k = 28 + -2k Solving 5 + k = 28 + -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. 5 + k + 2k = 28 + -2k + 2k Combine like terms: k + 2k = 3k 5 + 3k = 28 + -2k + 2k Combine like terms: -2k + 2k = 0 5 + 3k = 28 + 0 5 + 3k = 28 Add '-5' to each side of the equation. 5 + -5 + 3k = 28 + -5 Combine like terms: 5 + -5 = 0 0 + 3k = 28 + -5 3k = 28 + -5 Combine like terms: 28 + -5 = 23 3k = 23 Divide each side by '3'. k = 7.666666667 Simplifying k = 7.666666667
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