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Simplifying 13k + 7 = 7 + 12k Reorder the terms: 7 + 13k = 7 + 12k Add '-7' to each side of the equation. 7 + -7 + 13k = 7 + -7 + 12k Combine like terms: 7 + -7 = 0 0 + 13k = 7 + -7 + 12k 13k = 7 + -7 + 12k Combine like terms: 7 + -7 = 0 13k = 0 + 12k 13k = 12k Solving 13k = 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. 13k + -12k = 12k + -12k Combine like terms: 13k + -12k = 1k 1k = 12k + -12k Combine like terms: 12k + -12k = 0 1k = 0 Divide each side by '1'. k = 0 Simplifying k = 0
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