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Simplifying 20k + 5 = 8k + 41 Reorder the terms: 5 + 20k = 8k + 41 Reorder the terms: 5 + 20k = 41 + 8k Solving 5 + 20k = 41 + 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 + 20k + -8k = 41 + 8k + -8k Combine like terms: 20k + -8k = 12k 5 + 12k = 41 + 8k + -8k Combine like terms: 8k + -8k = 0 5 + 12k = 41 + 0 5 + 12k = 41 Add '-5' to each side of the equation. 5 + -5 + 12k = 41 + -5 Combine like terms: 5 + -5 = 0 0 + 12k = 41 + -5 12k = 41 + -5 Combine like terms: 41 + -5 = 36 12k = 36 Divide each side by '12'. k = 3 Simplifying k = 3
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