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Simplifying 8k + 9 = 64 + -6k Reorder the terms: 9 + 8k = 64 + -6k Solving 9 + 8k = 64 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 9 + 8k + 6k = 64 + -6k + 6k Combine like terms: 8k + 6k = 14k 9 + 14k = 64 + -6k + 6k Combine like terms: -6k + 6k = 0 9 + 14k = 64 + 0 9 + 14k = 64 Add '-9' to each side of the equation. 9 + -9 + 14k = 64 + -9 Combine like terms: 9 + -9 = 0 0 + 14k = 64 + -9 14k = 64 + -9 Combine like terms: 64 + -9 = 55 14k = 55 Divide each side by '14'. k = 3.928571429 Simplifying k = 3.928571429
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