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Simplifying (1 + 4k)(7) = 0 Reorder the terms for easier multiplication: 7(1 + 4k) = 0 (1 * 7 + 4k * 7) = 0 (7 + 28k) = 0 Solving 7 + 28k = 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 + 28k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 28k = 0 + -7 28k = 0 + -7 Combine like terms: 0 + -7 = -7 28k = -7 Divide each side by '28'. k = -0.25 Simplifying k = -0.25
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