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Simplifying 12k + 5 = 2k + 25 Reorder the terms: 5 + 12k = 2k + 25 Reorder the terms: 5 + 12k = 25 + 2k Solving 5 + 12k = 25 + 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 + 12k + -2k = 25 + 2k + -2k Combine like terms: 12k + -2k = 10k 5 + 10k = 25 + 2k + -2k Combine like terms: 2k + -2k = 0 5 + 10k = 25 + 0 5 + 10k = 25 Add '-5' to each side of the equation. 5 + -5 + 10k = 25 + -5 Combine like terms: 5 + -5 = 0 0 + 10k = 25 + -5 10k = 25 + -5 Combine like terms: 25 + -5 = 20 10k = 20 Divide each side by '10'. k = 2 Simplifying k = 2
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