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Simplifying 7k + -2(3k + 1) = 0 Reorder the terms: 7k + -2(1 + 3k) = 0 7k + (1 * -2 + 3k * -2) = 0 7k + (-2 + -6k) = 0 Reorder the terms: -2 + 7k + -6k = 0 Combine like terms: 7k + -6k = 1k -2 + 1k = 0 Solving -2 + 1k = 0 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 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 1k = 0 + 2 1k = 0 + 2 Combine like terms: 0 + 2 = 2 1k = 2 Divide each side by '1'. k = 2 Simplifying k = 2
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