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Simplifying 7k + (6k + 5) = 7 Reorder the terms: 7k + (5 + 6k) = 7 Remove parenthesis around (5 + 6k) 7k + 5 + 6k = 7 Reorder the terms: 5 + 7k + 6k = 7 Combine like terms: 7k + 6k = 13k 5 + 13k = 7 Solving 5 + 13k = 7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 13k = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 13k = 7 + -5 13k = 7 + -5 Combine like terms: 7 + -5 = 2 13k = 2 Divide each side by '13'. k = 0.1538461538 Simplifying k = 0.1538461538
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