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Simplifying 2k + 5k = 3(1 + -2k) Combine like terms: 2k + 5k = 7k 7k = 3(1 + -2k) 7k = (1 * 3 + -2k * 3) 7k = (3 + -6k) Solving 7k = 3 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 7k + 6k = 3 + -6k + 6k Combine like terms: 7k + 6k = 13k 13k = 3 + -6k + 6k Combine like terms: -6k + 6k = 0 13k = 3 + 0 13k = 3 Divide each side by '13'. k = 0.2307692308 Simplifying k = 0.2307692308
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