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Simplifying 10 + 6(8k + 9) = 0 Reorder the terms: 10 + 6(9 + 8k) = 0 10 + (9 * 6 + 8k * 6) = 0 10 + (54 + 48k) = 0 Combine like terms: 10 + 54 = 64 64 + 48k = 0 Solving 64 + 48k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + 48k = 0 + -64 Combine like terms: 64 + -64 = 0 0 + 48k = 0 + -64 48k = 0 + -64 Combine like terms: 0 + -64 = -64 48k = -64 Divide each side by '48'. k = -1.333333333 Simplifying k = -1.333333333
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