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Simplifying 2k + 9 + 6k = 3k + 10 + 9 Reorder the terms: 9 + 2k + 6k = 3k + 10 + 9 Combine like terms: 2k + 6k = 8k 9 + 8k = 3k + 10 + 9 Reorder the terms: 9 + 8k = 10 + 9 + 3k Combine like terms: 10 + 9 = 19 9 + 8k = 19 + 3k Solving 9 + 8k = 19 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 9 + 8k + -3k = 19 + 3k + -3k Combine like terms: 8k + -3k = 5k 9 + 5k = 19 + 3k + -3k Combine like terms: 3k + -3k = 0 9 + 5k = 19 + 0 9 + 5k = 19 Add '-9' to each side of the equation. 9 + -9 + 5k = 19 + -9 Combine like terms: 9 + -9 = 0 0 + 5k = 19 + -9 5k = 19 + -9 Combine like terms: 19 + -9 = 10 5k = 10 Divide each side by '5'. k = 2 Simplifying k = 2
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