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Simplifying -2(1 + -7k) = 30.5 (1 * -2 + -7k * -2) = 30.5 (-2 + 14k) = 30.5 Solving -2 + 14k = 30.5 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 + 14k = 30.5 + 2 Combine like terms: -2 + 2 = 0 0 + 14k = 30.5 + 2 14k = 30.5 + 2 Combine like terms: 30.5 + 2 = 32.5 14k = 32.5 Divide each side by '14'. k = 2.321428571 Simplifying k = 2.321428571
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