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Simplifying (1 + 7k)(7) = 0 Reorder the terms for easier multiplication: 7(1 + 7k) = 0 (1 * 7 + 7k * 7) = 0 (7 + 49k) = 0 Solving 7 + 49k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 49k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 49k = 0 + -7 49k = 0 + -7 Combine like terms: 0 + -7 = -7 49k = -7 Divide each side by '49'. k = -0.1428571429 Simplifying k = -0.1428571429
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