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Simplifying 5k + 7(k + 8) = 0 Reorder the terms: 5k + 7(8 + k) = 0 5k + (8 * 7 + k * 7) = 0 5k + (56 + 7k) = 0 Reorder the terms: 56 + 5k + 7k = 0 Combine like terms: 5k + 7k = 12k 56 + 12k = 0 Solving 56 + 12k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 12k = 0 + -56 Combine like terms: 56 + -56 = 0 0 + 12k = 0 + -56 12k = 0 + -56 Combine like terms: 0 + -56 = -56 12k = -56 Divide each side by '12'. k = -4.666666667 Simplifying k = -4.666666667
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