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Simplifying 7k + 8(9k + 6) = 0 Reorder the terms: 7k + 8(6 + 9k) = 0 7k + (6 * 8 + 9k * 8) = 0 7k + (48 + 72k) = 0 Reorder the terms: 48 + 7k + 72k = 0 Combine like terms: 7k + 72k = 79k 48 + 79k = 0 Solving 48 + 79k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 79k = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 79k = 0 + -48 79k = 0 + -48 Combine like terms: 0 + -48 = -48 79k = -48 Divide each side by '79'. k = -0.6075949367 Simplifying k = -0.6075949367
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