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Simplifying 12k + 5 = 8k + 25 Reorder the terms: 5 + 12k = 8k + 25 Reorder the terms: 5 + 12k = 25 + 8k Solving 5 + 12k = 25 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 5 + 12k + -8k = 25 + 8k + -8k Combine like terms: 12k + -8k = 4k 5 + 4k = 25 + 8k + -8k Combine like terms: 8k + -8k = 0 5 + 4k = 25 + 0 5 + 4k = 25 Add '-5' to each side of the equation. 5 + -5 + 4k = 25 + -5 Combine like terms: 5 + -5 = 0 0 + 4k = 25 + -5 4k = 25 + -5 Combine like terms: 25 + -5 = 20 4k = 20 Divide each side by '4'. k = 5 Simplifying k = 5
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