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Simplifying 7k + 5 = k + 8 Reorder the terms: 5 + 7k = k + 8 Reorder the terms: 5 + 7k = 8 + k Solving 5 + 7k = 8 + 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. 5 + 7k + -1k = 8 + k + -1k Combine like terms: 7k + -1k = 6k 5 + 6k = 8 + k + -1k Combine like terms: k + -1k = 0 5 + 6k = 8 + 0 5 + 6k = 8 Add '-5' to each side of the equation. 5 + -5 + 6k = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 6k = 8 + -5 6k = 8 + -5 Combine like terms: 8 + -5 = 3 6k = 3 Divide each side by '6'. k = 0.5 Simplifying k = 0.5
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