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Simplifying 12k + 5 = 1k + 49 Reorder the terms: 5 + 12k = 1k + 49 Reorder the terms: 5 + 12k = 49 + 1k Solving 5 + 12k = 49 + 1k 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 = 49 + 1k + -1k Combine like terms: 12k + -1k = 11k 5 + 11k = 49 + 1k + -1k Combine like terms: 1k + -1k = 0 5 + 11k = 49 + 0 5 + 11k = 49 Add '-5' to each side of the equation. 5 + -5 + 11k = 49 + -5 Combine like terms: 5 + -5 = 0 0 + 11k = 49 + -5 11k = 49 + -5 Combine like terms: 49 + -5 = 44 11k = 44 Divide each side by '11'. k = 4 Simplifying k = 4
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