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Simplifying 12k + 5 = k + 45 Reorder the terms: 5 + 12k = k + 45 Reorder the terms: 5 + 12k = 45 + k Solving 5 + 12k = 45 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 5 + 12k + -1k = 45 + k + -1k Combine like terms: 12k + -1k = 11k 5 + 11k = 45 + k + -1k Combine like terms: k + -1k = 0 5 + 11k = 45 + 0 5 + 11k = 45 Add '-5' to each side of the equation. 5 + -5 + 11k = 45 + -5 Combine like terms: 5 + -5 = 0 0 + 11k = 45 + -5 11k = 45 + -5 Combine like terms: 45 + -5 = 40 11k = 40 Divide each side by '11'. k = 3.636363636 Simplifying k = 3.636363636
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