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Simplifying 2k + 10 = 3k + 9 Reorder the terms: 10 + 2k = 3k + 9 Reorder the terms: 10 + 2k = 9 + 3k Solving 10 + 2k = 9 + 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. 10 + 2k + -3k = 9 + 3k + -3k Combine like terms: 2k + -3k = -1k 10 + -1k = 9 + 3k + -3k Combine like terms: 3k + -3k = 0 10 + -1k = 9 + 0 10 + -1k = 9 Add '-10' to each side of the equation. 10 + -10 + -1k = 9 + -10 Combine like terms: 10 + -10 = 0 0 + -1k = 9 + -10 -1k = 9 + -10 Combine like terms: 9 + -10 = -1 -1k = -1 Divide each side by '-1'. k = 1 Simplifying k = 1
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