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Simplifying 5k + 5 = 8 + -7k Reorder the terms: 5 + 5k = 8 + -7k Solving 5 + 5k = 8 + -7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7k' to each side of the equation. 5 + 5k + 7k = 8 + -7k + 7k Combine like terms: 5k + 7k = 12k 5 + 12k = 8 + -7k + 7k Combine like terms: -7k + 7k = 0 5 + 12k = 8 + 0 5 + 12k = 8 Add '-5' to each side of the equation. 5 + -5 + 12k = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 12k = 8 + -5 12k = 8 + -5 Combine like terms: 8 + -5 = 3 12k = 3 Divide each side by '12'. k = 0.25 Simplifying k = 0.25
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