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Simplifying 2(3k + 1) + -7k = 4 Reorder the terms: 2(1 + 3k) + -7k = 4 (1 * 2 + 3k * 2) + -7k = 4 (2 + 6k) + -7k = 4 Combine like terms: 6k + -7k = -1k 2 + -1k = 4 Solving 2 + -1k = 4 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1k = 4 + -2 Combine like terms: 2 + -2 = 0 0 + -1k = 4 + -2 -1k = 4 + -2 Combine like terms: 4 + -2 = 2 -1k = 2 Divide each side by '-1'. k = -2 Simplifying k = -2
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