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Simplifying 9 + 2k = 8k + -9 Reorder the terms: 9 + 2k = -9 + 8k Solving 9 + 2k = -9 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 9 + 2k + -8k = -9 + 8k + -8k Combine like terms: 2k + -8k = -6k 9 + -6k = -9 + 8k + -8k Combine like terms: 8k + -8k = 0 9 + -6k = -9 + 0 9 + -6k = -9 Add '-9' to each side of the equation. 9 + -9 + -6k = -9 + -9 Combine like terms: 9 + -9 = 0 0 + -6k = -9 + -9 -6k = -9 + -9 Combine like terms: -9 + -9 = -18 -6k = -18 Divide each side by '-6'. k = 3 Simplifying k = 3
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