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