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Simplifying 7(8k + 1) + 4k = 0 Reorder the terms: 7(1 + 8k) + 4k = 0 (1 * 7 + 8k * 7) + 4k = 0 (7 + 56k) + 4k = 0 Combine like terms: 56k + 4k = 60k 7 + 60k = 0 Solving 7 + 60k = 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 + 60k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 60k = 0 + -7 60k = 0 + -7 Combine like terms: 0 + -7 = -7 60k = -7 Divide each side by '60'. k = -0.1166666667 Simplifying k = -0.1166666667
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