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Simplifying -7k + 12 = 7 + 5k Reorder the terms: 12 + -7k = 7 + 5k Solving 12 + -7k = 7 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 12 + -7k + -5k = 7 + 5k + -5k Combine like terms: -7k + -5k = -12k 12 + -12k = 7 + 5k + -5k Combine like terms: 5k + -5k = 0 12 + -12k = 7 + 0 12 + -12k = 7 Add '-12' to each side of the equation. 12 + -12 + -12k = 7 + -12 Combine like terms: 12 + -12 = 0 0 + -12k = 7 + -12 -12k = 7 + -12 Combine like terms: 7 + -12 = -5 -12k = -5 Divide each side by '-12'. k = 0.4166666667 Simplifying k = 0.4166666667
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