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Simplifying 3k + 10 = 2k + 21 Reorder the terms: 10 + 3k = 2k + 21 Reorder the terms: 10 + 3k = 21 + 2k Solving 10 + 3k = 21 + 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. 10 + 3k + -2k = 21 + 2k + -2k Combine like terms: 3k + -2k = 1k 10 + 1k = 21 + 2k + -2k Combine like terms: 2k + -2k = 0 10 + 1k = 21 + 0 10 + 1k = 21 Add '-10' to each side of the equation. 10 + -10 + 1k = 21 + -10 Combine like terms: 10 + -10 = 0 0 + 1k = 21 + -10 1k = 21 + -10 Combine like terms: 21 + -10 = 11 1k = 11 Divide each side by '1'. k = 11 Simplifying k = 11
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