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Simplifying 12k + 2 = k + 13 Reorder the terms: 2 + 12k = k + 13 Reorder the terms: 2 + 12k = 13 + k Solving 2 + 12k = 13 + 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. 2 + 12k + -1k = 13 + k + -1k Combine like terms: 12k + -1k = 11k 2 + 11k = 13 + k + -1k Combine like terms: k + -1k = 0 2 + 11k = 13 + 0 2 + 11k = 13 Add '-2' to each side of the equation. 2 + -2 + 11k = 13 + -2 Combine like terms: 2 + -2 = 0 0 + 11k = 13 + -2 11k = 13 + -2 Combine like terms: 13 + -2 = 11 11k = 11 Divide each side by '11'. k = 1 Simplifying k = 1
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