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Simplifying (3 + -7k)(-2) = 0 Reorder the terms for easier multiplication: -2(3 + -7k) = 0 (3 * -2 + -7k * -2) = 0 (-6 + 14k) = 0 Solving -6 + 14k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 14k = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 14k = 0 + 6 14k = 0 + 6 Combine like terms: 0 + 6 = 6 14k = 6 Divide each side by '14'. k = 0.4285714286 Simplifying k = 0.4285714286
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