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Simplifying 2k + 9 + 6k = 2k + 10 + 9 Reorder the terms: 9 + 2k + 6k = 2k + 10 + 9 Combine like terms: 2k + 6k = 8k 9 + 8k = 2k + 10 + 9 Reorder the terms: 9 + 8k = 10 + 9 + 2k Combine like terms: 10 + 9 = 19 9 + 8k = 19 + 2k Solving 9 + 8k = 19 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 9 + 8k + -2k = 19 + 2k + -2k Combine like terms: 8k + -2k = 6k 9 + 6k = 19 + 2k + -2k Combine like terms: 2k + -2k = 0 9 + 6k = 19 + 0 9 + 6k = 19 Add '-9' to each side of the equation. 9 + -9 + 6k = 19 + -9 Combine like terms: 9 + -9 = 0 0 + 6k = 19 + -9 6k = 19 + -9 Combine like terms: 19 + -9 = 10 6k = 10 Divide each side by '6'. k = 1.666666667 Simplifying k = 1.666666667
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