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Simplifying 5k + 9 = 2k Reorder the terms: 9 + 5k = 2k Solving 9 + 5k = 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 + 5k + -2k = 2k + -2k Combine like terms: 5k + -2k = 3k 9 + 3k = 2k + -2k Combine like terms: 2k + -2k = 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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