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Simplifying 12k + 13 = 8k + 23 Reorder the terms: 13 + 12k = 8k + 23 Reorder the terms: 13 + 12k = 23 + 8k Solving 13 + 12k = 23 + 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. 13 + 12k + -8k = 23 + 8k + -8k Combine like terms: 12k + -8k = 4k 13 + 4k = 23 + 8k + -8k Combine like terms: 8k + -8k = 0 13 + 4k = 23 + 0 13 + 4k = 23 Add '-13' to each side of the equation. 13 + -13 + 4k = 23 + -13 Combine like terms: 13 + -13 = 0 0 + 4k = 23 + -13 4k = 23 + -13 Combine like terms: 23 + -13 = 10 4k = 10 Divide each side by '4'. k = 2.5 Simplifying k = 2.5
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