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Simplifying 9k + 2 = 3k + 5 Reorder the terms: 2 + 9k = 3k + 5 Reorder the terms: 2 + 9k = 5 + 3k Solving 2 + 9k = 5 + 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. 2 + 9k + -3k = 5 + 3k + -3k Combine like terms: 9k + -3k = 6k 2 + 6k = 5 + 3k + -3k Combine like terms: 3k + -3k = 0 2 + 6k = 5 + 0 2 + 6k = 5 Add '-2' to each side of the equation. 2 + -2 + 6k = 5 + -2 Combine like terms: 2 + -2 = 0 0 + 6k = 5 + -2 6k = 5 + -2 Combine like terms: 5 + -2 = 3 6k = 3 Divide each side by '6'. k = 0.5 Simplifying k = 0.5
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