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Simplifying 5 + 2k = 25 + -1k Solving 5 + 2k = 25 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 5 + 2k + k = 25 + -1k + k Combine like terms: 2k + k = 3k 5 + 3k = 25 + -1k + k Combine like terms: -1k + k = 0 5 + 3k = 25 + 0 5 + 3k = 25 Add '-5' to each side of the equation. 5 + -5 + 3k = 25 + -5 Combine like terms: 5 + -5 = 0 0 + 3k = 25 + -5 3k = 25 + -5 Combine like terms: 25 + -5 = 20 3k = 20 Divide each side by '3'. k = 6.666666667 Simplifying k = 6.666666667
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