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Simplifying 7(1 + -7k) + -4 = 0 (1 * 7 + -7k * 7) + -4 = 0 (7 + -49k) + -4 = 0 Reorder the terms: 7 + -4 + -49k = 0 Combine like terms: 7 + -4 = 3 3 + -49k = 0 Solving 3 + -49k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -49k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -49k = 0 + -3 -49k = 0 + -3 Combine like terms: 0 + -3 = -3 -49k = -3 Divide each side by '-49'. k = 0.0612244898 Simplifying k = 0.0612244898
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